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Lumen Method Lighting Calculator (Fixtures Needed)

Zonal-cavity lumen method: number of luminaires needed for a target illuminance from room size, fixture lumens, coefficient of utilization from the room cavity ratio and surface reflectances, and light loss factor, with the resulting average lux/foot-candles, layout grid and watts per square foot.

Room length
Room width
Fixture height above the work plane
Target illuminance
Lumens per luminaire (delivered)
Watts per luminaire
Room surfaces
Light loss factor
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How it works

N = E × A ÷ (lumens per luminaire × CU × LLF); RCR = 5 × h × (L + W) ÷ (L × W); CU from the luminaire's coefficient table (approximated here); LPD = N × W ÷ A

The lumen method estimates the average illuminance a room will receive from a regular grid of luminaires. Not every lumen a fixture emits lands on the desks: some is absorbed by walls and ceiling, more so in tall narrow rooms with dark surfaces, and the coefficient of utilization captures that fraction as a function of the room cavity ratio and reflectances (real values come from the manufacturer's photometric table). Light loss factors then account for lumen depreciation and dirt over the maintenance cycle. The method gives the count; a spacing criterion — roughly 1.3 times the mounting height for typical direct fixtures — checks that the grid is dense enough to be uniform, and dividing installed watts by area gives the lighting power density that energy codes cap at about 0.6–0.8 W/ft² for offices.

Worked example

A 40 × 30 ft office lit from 7 ft above the desks has a room cavity ratio of 2.0 and, with medium reflectances, a CU near 0.74. For 50 fc from 4,000-lumen LED troffers at an LLF of 0.8 it needs 25.3 fixtures — a 6 × 5 grid of 30 gives about 59 fc at 0.8 W/ft², spaced 6.7 × 6 ft, comfortably inside the 9 ft spacing limit.

Frequently asked questions

Foot-candles or lux?

1 fc = 1 lumen per square foot = 10.76 lux. IES targets: offices 300–500 lux (30–50 fc), classrooms 500, warehouses 100–200, fine assembly 1,000+.

Why does my real CU differ?

CU depends heavily on the luminaire's distribution — a narrow high-bay in a tall room may reach 0.8 while a wide indirect fixture in a dark room is under 0.4. Use the CU table in the fixture's IES data for anything beyond an estimate.

Related calculators

Lumen-method and point-source arithmetic with typical IES recommended illuminance levels and generic fixture data. Manufacturer photometric files (IES), the applicable energy code (ASHRAE 90.1 / IECC / Title 24) and a lighting designer govern real installations.