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Liter/minute to Cubic meter/second (L/min to m³/s) Calculator & Formula

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Live Conversion • ISO 80000-4:2019 Certified
1 Liter/minute = 1.66666667 × 10⁻⁵ Cubic meter/second
1 L/min = 1.666667 × 10⁻⁵ m³/s • 1 m³/s = 60000 L/min
Liter/minute to Cubic meter/second: One Liter/minute is equal to 1.66666667 × 10⁻⁵ Cubic Meters/second.
Certified Authority Value
0.00001667
m³/s
Exact: 1 m³/s ≡ 60000 L/min
L/min
L/min
m³/s
m³/s 1.66666667 × 10⁻⁵
Conversion Formula
To convert Liter/minute to Cubic meter/second, multiply by 1.66666667 × 10⁻⁵
L/min × 1.66666667 × 10⁻⁵ = m³/s

Calculation: 1 L/min × 1.66666667 × 10⁻⁵ = 1.66666667 × 10⁻⁵ m³/s

Common Liter/minute to Cubic meter/second Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Liter/minute (L/min) and Cubic meter/second (m³/s).

Tap any row to calculate
Cubic meter/second to Liter/minute: Reciprocal Summary

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Liter/minute (L/min) and Cubic meter/second (m³/s):

Liter/minute References:

  • Standard water-saving residential bathroom showerhead water flow limit 9 L/min
  • Standard domestic kitchen sink faucet aerator maximum flow rate 6 L/min
  • Resting adult human pulmonary ventilation air inhalation flow rate 6 L/min

Cubic meter/second References:

  • Niagara Falls combined average tourist daytime river discharge flow rate 2400 m³/s
  • Amazon River mouth discharge into Atlantic Ocean (world largest river) 209000 m³/s
  • Municipal regional wastewater treatment plant peak sewage inflow rate 1 m³/s
ISQ Dimension: [L³ T⁻¹] Coherent SI Unit: cubic meter per second (m³/s) Fluid Dynamics & Rheology

How to Convert Liter/minute to Cubic meter/second

Converting Liter/minute (L/min) to Cubic meter/second (m³/s) is a core calculation in Volumetric Flow Rate, which quantifies the volume of fluid passing through a designated conduit cross-section per unit of time. Because Cubic meter/second is a broader physical scale than Liter/minute, converting from L/min to m³/s condenses the numerical figure. It takes 60000 Liter/minute to equal a single Cubic meter/second (1 L/min = 1.666667 × 10⁻⁵ m³/s). To convert any quantity, multiply by 1.666667 × 10⁻⁵ (or divide by 60000).

Direct Factor1 L/min = 1.666667 × 10⁻⁵ m³/s
Inverse Ratio1 m³/s = 60000 L/min
Conversion ScaleDirect Proportional Magnitude Compression
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (cubic meter per second (m³/s)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 L/min = 1.666667 × 10⁻⁵ cubic meter per second (m³/s)
2. Target SI Bridge (ktarget):1 m³/s = 1 cubic meter per second (m³/s)
Step-by-step substitution for Liter/minute → Cubic meter/second:V(m³/s) = V(L/min) × ( 1.666667 × 10⁻⁵ / 1 ) = V(L/min) × 1.666667 × 10⁻⁵
Mathematical FormulaValue in Cubic meter/second = Value in Liter/minute × 1.66666667 × 10⁻⁵Direct computational formula applied for standard conversion.
Worked Example

To convert 2.5 Liter/minute (L/min) to Cubic meter/second (m³/s): multiply 2.5 by 1.666667 × 10⁻⁵ to get 4.166667 × 10⁻⁵ m³/s. At an industrial engineering scale, 5000 L/min converts to 0.0833333 m³/s.

Inverse check: 1 m³/s = 60000 L/min.

Understanding Liter/minute and Cubic meter/second

Liter/minute

L/min
Standard Unit

A Liter/minute (L/min) is a recognized unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a standard water-saving residential bathroom showerhead water flow limit equals 9 L/min, a standard domestic kitchen sink faucet aerator maximum flow rate equals 6 L/min, a resting adult human pulmonary ventilation air inhalation flow rate equals 6 L/min.

Physical Setup

A physical magnitude of 1 L/min corresponds to 1.666667 × 10⁻⁵ m³/s in standard SI measurement.

Conversion to SI Unit: cubic meter per second (m³/s)
1 L/min = 1.666667 × 10⁻⁵ m³/s

Cubic meter/second

m³/s
SI Base Standard

A Cubic meter/second (m³/s) is the official base standard unit for volumetric flow rate.

Applications & Practical Context

In practical flow terms, a niagara Falls combined average tourist daytime river discharge flow rate equals 2400 m³/s, a amazon River mouth discharge into Atlantic Ocean (world largest river) equals 209000 m³/s, a municipal regional wastewater treatment plant peak sewage inflow rate equals 1 m³/s.

Physical Setup

A flow rate of 1 m³/s represents 1 Cubic meter/second of fluid volume flowing through a pipe or channel every elapsed second.

Conversion to SI Unit: cubic meter per second (m³/s)
1 m³/s = 1 m³/s (Base Standard)

Domain Metrology & Engineering Applications

Governing Law & Equation

Hydrodynamic Continuity Equation (Q = A · v̄)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using electromagnetic inductive flowmeters, ultrasonic transit-time meters, turbine flowmeters, and differential orifice plates.

Primary Industry Sectors

Applied across municipal water supply distribution, chemical process loops, oil & gas pipeline custody transfer, and HVAC hydronic balancing under international metrology standard ISO 80000-4:2019, ASME MFC-3M.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Cubic meter/second
Standard water-saving residential bathroom showerhead water flow limit9 L/min0.00015 m³/s
Standard domestic kitchen sink faucet aerator maximum flow rate6 L/min0.0001 m³/s
Resting adult human pulmonary ventilation air inhalation flow rate6 L/min0.0001 m³/s
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, ASME MFC-3M and the BIPM SI Brochure (9th Edition). Governed by Hydrodynamic Continuity Equation (Q = A · v̄) under ISO 80000 dimensional vector [L³ T⁻¹].

Multi-Variable Engineering Bridge Precision Fluid Continuity

Volumetric Flow & Fluid Continuity Bridge (GPM • CFM • m³/h • L/min • L/s • ft³/h)

Directly convert mass flow rate (ṁ) into volumetric flow (Q) across process fluids using the thermodynamic continuity equation ṁ = ρ × Q, bridging mass flow [M T⁻¹] and volumetric flow [L³ T⁻¹] via fluid density (ρ).

Q = ṁ / ρ
Live Calculated Bridge Equivalent:
1 L/min at Water (20°C / Standard Ambient) = 0.0002646 GPM
Equals 3.5378 × 10⁻⁵ CFM • 6.0108 × 10⁻⁵ m³/h • 0.001002 L/min
US Pump Standard
0.0002646
GPM
US Gallons per Minute
Air / Gas Flow
3.5378 × 10⁻⁵
CFM
Cubic Feet per Minute
Metric Standard
6.0108 × 10⁻⁵
m³/h
Cubic Meters per Hour
Hydraulics & Lab
0.001002
L/min
Liters per Minute
High Volume
1.6697 × 10⁻⁵
L/s
Liters per Second
Burners & Fuel
0.0021
ft³/h
Cubic Feet per Hour
  1. 1. Normalize Input to SI Base Unit (kg/s):
    ṁ = 1 L/min × 1.66666667 × 10⁻⁵ = 1.66666667 × 10⁻⁵ kg/s
  2. 2. Apply Engineering Parameter (ρ):
    Selected condition: Water (20°C / Standard Ambient) at ρ = 998.2 kg/m³
  3. 3. Execute Governing Physical Law in SI Units:
    Q = ṁ / ρ = (1.66666667 × 10⁻⁵) ÷ (998.2) = 1.669672 × 10⁻⁸ m³/s
  4. 4. Convert to Standard Engineering Units:
    • GPM: 1.669672 × 10⁻⁸ × 15850.3231 = 0.0002646 GPM (US Gallons per Minute) • CFM: 1.669672 × 10⁻⁸ × 2118.88 = 3.5378 × 10⁻⁵ CFM (Cubic Feet per Minute) • m³/h: 1.669672 × 10⁻⁸ × 3600 = 6.0108 × 10⁻⁵ m³/h (Cubic Meters per Hour) • L/min: 1.669672 × 10⁻⁸ × 60000 = 0.001002 L/min (Liters per Minute) • L/s: 1.669672 × 10⁻⁸ × 1000 = 1.6697 × 10⁻⁵ L/s (Liters per Second) • ft³/h: 1.669672 × 10⁻⁸ × 127132.8002 = 0.0021 ft³/h (Cubic Feet per Hour)
Explore Full Density Converter →
Engineering Substance / Operating Standard Parameter Value (kg/m³) Reference State / Condition Typical Industrial & Engineering Application
Water (20°C / Standard Ambient) 998.2 20°C (68°F), 1 atm Hydronic HVAC & cooling water (NIST)
Water (4°C / Maximum Density) 1000 4°C (39.2°F), 1 atm Pure metrology reference standard (SG = 1.0)
Water (100°C / Saturated Liquid) 958.4 100°C (212°F), 1 atm Boiler condensate returns & district hot water
Saturated Steam (100°C, 1 atm) 0.5977 100°C, 1.01325 bar Boiler steam piping & relief headers (IAPWS-97)
Air (Standard Ambient / NTP 20°C) 1.204 20°C (68°F), 101.325 kPa (ISO 5011) Compressor SCFM rating, blower sizing & HVAC duct air
Air at STP (0°C, 1 atm) 1.292 0°C (32°F), 101.325 kPa (IUPAC) Standard European gas metering & chemical plant feeds
Diesel Fuel (EN 590 / No. 2-D, 20°C) 832 20°C (68°F), ASTM D975 / EN 590 Engine fuel telemetry, BSFC dyno & generator consumption
Gasoline / Petrol (ASTM D4814, 15°C) 740 15°C (59°F), ASTM D4814 Automotive port & direct fuel injector calibrations
Natural Gas / Methane (STP: 0°C, 1 atm) 0.717 0°C, 1 atm (Pure CH₄ approximation) Gas turbine firing rate & burner pipeline supply
Engine Lubricating Oil (SAE 30, 20°C) 885 20°C, typical kinematic grade 100 cSt Engine lube circuits, turbo feed lines & cooling loops
Hydraulic Oil (ISO VG 46, 20°C) 870 20°C, mineral hydraulic fluid Hydraulic power packs, cylinder pump flows & servo valves
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Frequently Asked Questions

There are exactly 1.66666667 × 10⁻⁵ cubic meters/second (m³/s) in 1 liter/minute (L/min). To calculate larger amounts manually, simply multiply your total number of liters/minute by the conversion multiplier of 1.66666667 × 10⁻⁵.

The mathematical formula to convert liters/minute to cubic meters/second is: [value] * 1.66666667 × 10⁻⁵ = cubic meters/second. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from cubic meters/second back to liters/minute, you must divide your starting value by 1.66666667 × 10⁻⁵. Our bidirectional tool automatically computes this inverse equation the moment you type into the cubic meter/second input field.

1 Cubic meter/second is larger than 1 Liter/minute. Specifically, 1 Liter/minute equals 1.66666667 × 10⁻⁵ cubic meters/second, meaning 1 Cubic meter/second is 60000 times larger than 1 Liter/minute (a difference of 4.78 orders of magnitude). Expressing measurements in liters/minute requires a larger numerical value to represent the equivalent physical magnitude.

A typical standard water-saving residential bathroom showerhead water flow limit measures 9 L/min, which corresponds to 0.00015 Cubic Meter Per Second (Cubic meter/second).

There are exactly 1.66667 × 10⁻⁵ m³/s in 1 L/min.

The specific volumetric flow conversion formula is V(m³/s) = V(L/min) × 1.66667 × 10⁻⁵.

To convert back to liters per minute, use the inverse formula: V(L/min) = V(m³/s) × 60000.

This scales fluid throughput from standard industrial per-minute rates (L/min) to base SI volumetric flow per second (m³/s) under ISO 80000, essential for hydraulic mechanics and pump specifications.