Lumen Method Calculator (Number of Light Fixtures & Lux)

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.
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.
Related calculators
- ElectricalkW to Amps CalculatorConvert kilowatts to amps for single-phase, three-phase and DC circuits using voltage and power factor, with charts for 230 V and 415 V.Open calculator
- ElectricalLoad Factor CalculatorCalculate load factor from energy consumed and maximum demand, plus average load and demand factor, for monthly electricity bills and plant studies.Open calculator
- ElectronicsLED Resistor CalculatorCalculate the series resistor value and wattage for one LED or a string of LEDs from supply voltage, forward voltage and current.Open calculator
- PhysicsInverse Square Law CalculatorCalculate how intensity of light, sound or radiation falls with distance using I₂ = I₁(d₁/d₂)², with the decibel drop and distance for a target level.Open calculator
- ElectricalBattery Bank Size CalculatorCalculate battery bank capacity in Ah for a load and backup time, allowing for inverter efficiency, depth of discharge and an ageing margin.Open calculator
- ElectricalPower Factor Correction CalculatorCalculate the capacitor bank kVAr and capacitance needed to raise power factor from its present value to a target, with current reduction.Open calculator