The answer is dependent on your computer hardware to some extent.
If you have a graphics card in a desktop computer they normally have a couple DVI or other ports to hook up a couple (2) monitors. The chips ( Nvidia etc. or mobo chips from intel etc.) of a laptop might not have output ports to support more than one output ( like full HD HDMI ).
Theres a big difference between graphics cards and mobo embedded chip promises.
I think you should start looking at the technology of what a computer can do, and compare that to what game you are playing to capture your images and see them on many TV's.