LED64 common ground?

I have teh old style LED64 board. the one where you have to solder in all the wires. :o Anyways, I have just recently acquired a rather large annunciator panel that I am converting over to LED. To cut down on wiring, can i connect all the negative ports togethe on the card and just use one common negative throughout the entire thing?? I would like to do this because this annunciator is going to be remotely mounted. So, I would like to wire it this way to cut down on the size of the wiring loom I will need to make. I hope I make sense.