Simple answer : I ran such a module in my 4C and I had to put a dummy cell in it.
Be aware : A module that is designed for 3 cells, which means normally 4.8 Volts maximum won't be any brighter with more cels, but fry. If you speak about that old-fashioned MagLED module, it exists in different versions, from 2 cells to 4 cells IIRC.
Don't buy one of these, have a look around here, you get Malkoff dropins e.g, which are supposed to be the best around. I have some from led4more, a german engineer who makes an uni module, whuch works with 3 to 6 cells, but the brightness will be the same (around 200 lumens at start, 170 working), only the runnig time will vary.
A LED has a driver, which is designed either to boost up the voltage or to reduce it, some can do both, but the LED needs always the same voltage to work properly. So, unlike incandescent bulbs, they can't profit from more voltage. Dittmann, the engineer from Led4more, told me even a trick to drain my cells : First use them in the 6D until the LED stops working. This happens, when the overall voltage drops below 3 volts or so. Then, put them in the 2D, which has another module and boosts up the voltage, as 3 volts is the maximum it can handle. In that way, "empty" cells "work" again...
Greets,
Henk