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A lumen is a measure of how much total light a bulb produces. Incandescent (1156) bulbs spray their light through almost 360 degrees and lamp housings designed for them rely on that. Most LED lamps put all their light out in a narrow cone and work poorly with standard 1156 housings. However, there are LED assemblies that have their light-producing chips arranged around a sphere and they work well in standard housings.

The LEDs you see on commercial vehicles are mounted in housings designed for their narrow cone output, that's why they look bright.

A standard 1156 bulb puts out about 400 lumens when new. As of January 2010, I haven't found an LED replacement that puts out any more, and most are only 50 lumens or so, not enough for a standard 1156 housing.

To confirm the above: From Bosch Automotive Handbook7th ed. a 1156 (BA15S) Stop/Turn 21W bulb puts out 460 lumens. For a 5W Side marker / Tail BA15S it is 50 lumens (strangely low, I know) and 10W Tail light 125 lumens.

If replacing with a warm white LED, then that is how many lumens you need to match the brightness (as well as light direction being good). BUT, if using a Red LED for a brake light or an Amber LED for Turn signals, then less lumens are needed. This is because the Red lens of a brake light filters out all the blue, yellow, green, etc out of white light, but filters nothing from a Red LED. The question now is: What is the percentage of "Red" in the light output of a "White" incandescent bulb?

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