Remote Desktop Server Environment?

Can Libre Office works in a Remote Desktop Server environment, running multiple instants for all the individual RDS users in the same server?

To expand on @Mike_Kaganski’s answer:

As long as each RDP user has his own, separate, desktop, LO won’t know a difference.

Your problems will arise from CPU and RAM usage.

If the computer doesn’t have a real GPU, you likely have to disable OpenGL and OpenCL (or use the software implementation of OpenCL, but it might or not work better than no OpenCL) in LO’s settings.

Yes it can.