Elecmetric

Lumens to Lux Calculator

Convert lumens to lux from the area the light covers: E = lumens / m². Formula, worked example and a table. Lumens alone cannot give lux.

Luminous flux (lm) 3,000, area 20 m², fraction of lumens reaching the surface 1 gives
150 lux

Estimate only. Not engineering or safety advice. Check the result against the applicable standard and the equipment data, and have a competent engineer review it before it is relied on. Terms of use.

Open in the calculator with these values

Formula

E = Φ × u / A Φ = E × A / u A = Φ × u / E (1 fc = 10.7639 lx)

Worked example

InputValue
Luminous flux (lm)3,000
Area20 m²
Fraction of lumens reaching the surface1
  1. E = Φ × u / A = 3,000 × 1 / 20 = 150 lux
  2. Footcandles = lux / 10.7639 = 13.935

Typical values

Luminous flux (lm)Illuminance (lux)
50025
1,00050
3,000150
5,000250
10,000500

Other inputs are the same as in the worked example above.

Assumptions

Lux is lumens per square metre. For a room, use the utilisation and maintenance factors, or the lumen method for a luminaire count.

Frequently asked questions

How do I convert Lumens to Lux?

E = Φ × u / A; Φ = E × A / u; A = Φ × u / E (1 fc = 10.7639 lx). Worked example: Luminous flux (lm) 3,000, area 20 m², fraction of lumens reaching the surface 1 gives 150 lux.

What do I need to enter?

Enter luminous flux (lm), illuminance (lux), area and fraction of lumens reaching the surface. Leave blank the value you want to find, and the form solves for it. Change the unit of a value with its selector and the result stays the same.

What is the difference between lumens and lux?

Lumens measure the total light a source gives out. Lux is lumens per square metre arriving on a surface, so it depends on the area the light spreads over. The same lamp gives more lux on a small area and less on a large one.

Why is the fraction of lumens reaching the surface 1?

The worked example assumes every lumen lands on the surface, which is the ideal case. In a real room some light is lost to walls, the luminaire and dirt, so use a utilisation and maintenance factor below 1.

How accurate are the results?

Every figure comes from the same tested engine as the Elecmetric calculators and is meant for estimating. Check design values against the standard and the equipment data you work to.

Related

Next steps in a design: Lux to WattsLighting LevelCandela to Lux
Opposite direction: Lux to Lumens
Also see: Candela to Lux Lux to Candela Lumens to Candela Candela to Lumens
Formula guides: Lighting Formulas: Lux, Lumens and CandelaPoint Illuminance FormulasIlluminance and Luminance Converter
All 78 conversionsLumens, Lux and Area (any two) in Elecmetric

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