Lumen Method Calculator (Number of Light Fixtures & Lux)

Lumen Method Calculator (Number of Light Fixtures & Lux): formula and free online calculator

The lumen method is the standard hand calculation for general lighting: the lumens needed equal target illuminance × area, corrected for how much light reaches the work plane and for ageing and dirt. This lumen method calculator gives the number of fixtures and the resulting lux — the same steps as in this lighting design calculation.

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4,000 lm
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Type in any field to change it. Press × on a value to calculate that field instead.

How to use the lumen method calculator

Enter the target illuminance, the room length and width, the lumens per fixture and the utilisation and maintenance factors. The calculator returns the exact number of fixtures, the number rounded up and the illuminance you will actually get.

Lumen method formula

N = E × A ÷ (Φ × UF × MF)  ·  Eachieved = N × Φ × UF × MF ÷ A

Worked example

An office 10 m × 8 m (80 m²) needs 500 lux, using 4,000 lm LED panels with UF = 0.6 and MF = 0.8:

  • N = 500 × 80 ÷ (4,000 × 0.6 × 0.8) = 40,000 ÷ 1,920 = 20.83 → 21 fixtures
  • Achieved = 21 × 1,920 ÷ 80 = 504 lux

Fixtures for an 80 m² room by application (4,000 lm, UF 0.6, MF 0.8)

Application Target Exact N Fixtures
Corridors, stores 100 lux 4.2 5
Warehouse 200 lux 8.3 9
Classroom 300 lux 12.5 13
Office, control room 500 lux 20.8 21
Workshop — fine work 750 lux 31.2 32
Inspection, drawing office 1000 lux 41.7 42

Notes

  • In practice round to a number that fits a neat grid (for example 21 → 4 × 5 = 20 or 4 × 6 = 24) and recheck the lux.
  • The lumen method gives the average illuminance; use lighting software to check uniformity and glare.

Frequently asked questions

What is the lumen method formula?

N = (E × A) ÷ (Φ × UF × MF), where E is the required illuminance in lux, A the area in m², Φ the lumens per fixture, UF the utilisation factor and MF the maintenance factor.

How many lux does an office need?

EN 12464-1 recommends 500 lux on the task area for offices and control rooms, 300 lux for classrooms and 100–200 lux for corridors and warehouses.

What is the utilisation factor?

The fraction of the lamps' light that reaches the working plane. It depends on the room index, surface reflectances and the fitting's light distribution and comes from the manufacturer's UF table.

How should I arrange the fixtures?

In a regular grid with spacing no more than the fitting's maximum spacing-to-height ratio (often 1.0–1.5 × mounting height above the work plane), so the lighting is uniform.

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