Lumens required at the source
Phi_total = E x A / MF
Target illuminance in lux times floor area in square metres, divided by the maintenance factor. The floor area is the lit floor, not the whole house.
Guide
How to get from a room and an activity to a lumen requirement, a fixture count, and switch positions that make sense.
A living room, a kitchen counter, and a hallway are lit to different levels because the tasks differ. Published recommendations run roughly 100 lux for circulation, 150 to 300 lux for general living space, and 300 to 500 lux where you read, cook, or work. Write the target for each room down before you look at hardware; the target is what the layout has to deliver, and it is the only number that tells you whether six downlights or twelve are needed.
Lumens are light; watts are cost. A whole room needs a total number of lumens on the work plane, and every fixture choice is just a way of buying that total in packages. Once the total exists, the fixture count is a division: total lumens divided by delivered lumens per fixture. Visible lumen output on the box is usually optimistic, so take delivered lumens from the photometric data or discount the label by a quarter for a screen.
Fixtures get dirty and LED output falls slowly with age, so the lumens at installation cannot equal the lumens you need at the end of the cleaning cycle. A maintenance factor of 0.80 is a fair residential default: divide the luminous requirement by that factor, and the installed scheme keeps hitting the target as the room ages.
One circuit doing all three jobs is why rooms feel flat at some hours and blown out at others.
A counter, a desk, or an armchair is lit locally with a small fixture at close range and high output. Task layers are cheaper than lighting the whole floor to task level, and they are the layer people actually switch on. Keep the ambient layer dimmable so the two can be balanced rather than doubled up.
A layout that is right on paper but has one switch for the whole floor gets defeated by the occupants. Group fixtures by task, daylight, and circulation, and place the controls where people walk: doorways, bed sides, and the kitchen entry. Dimming on the ambient layer, a separate switch for task lighting, and a night path in hallways covers most houses.
Lighting for the fixture rather than the task, using watts as the design number, ignoring the maintenance factor, spacing fixtures by eye without a distance-to-height ratio, and putting all the light on one switch. Each of them survives the drawing stage and only shows up when someone is standing in the room.
Phi_total = E x A / MF
Target illuminance in lux times floor area in square metres, divided by the maintenance factor. The floor area is the lit floor, not the whole house.
N = Phi_total / Phi_fixture
Delivered lumens per fixture, not the label lumen figure, and then rounded up to a number that fits the ceiling.
E = N x Phi_fixture x UF x MF / A
The lumen method. The utilization factor carries the light that reaches the work plane; the maintenance factor carries the light the room loses over time.
Inputs: 250 ft2, a general living area target of 150 lux, maintenance factor 0.80, typical LED lamps at 1125 delivered lumens.
250 ft2 converts to 23.2 m2. The target draws 150 x 23.2 = 3,484 lumens on the work plane, and with the maintenance factor the fixtures must produce 4,355 lumens. At 1125 lumens each that is 3.9, so four lamps of that output cover the room.
Inputs: The same 23.2 m2, but a home office target of 300 lux.
300 x 23.2 = 6,971 lumens on the work plane, 8,714 at the source after the maintenance factor. Four lamps no longer do it: either eight smaller ones, or four high output fixtures, or two of them plus a desk lamp for the work surface.
Either, as long as the illuminance target matches. Lux is lumens per square metre, foot-candles is lumens per square foot, and 1 fc is about 10.76 lux. The calculators accept both areas and convert before doing any arithmetic.
Because the number on the box is the lumen output of a new lamp under ideal conditions, while the room loses light to fixture dirt, surface absorption, and ageing. The maintenance factor is the allowance for that gap.
Count the fixtures from the lumen requirement first, then check that the spacing is no more than about one times the ceiling height for a standard downlight. If the count and the spacing disagree, the illuminance target is usually the number that is wrong.