TLC5940's Big Brother: TLC5955 48-Ch, 16-Bit, PWM LED Driver w/DC,BC,Open-Short

i know this is current sinking chip. Wondering how would anyone connect Diffused RGB (tri-color) LED - Common Anode to its channel. Since, each R B G takes different input voltages.

Would this chip run properly if it's common is anode is connect to 3 channels (RBG) with different input voltage.

i am doing senior desgin on POV with these chips, any insight regarding this chip is helpful.

thanks