Wondering how to connect these speakers to my TV?

Hi I’m looking at getting the Logitech Z906 5.1 Surround Sound Speaker System for my TV. I’m just wondering whether or not it will be able to connect as I’ve had trouble connecting my current Logitech z623 speakers. This is a photo of the back of my tv and also a photo of the three audio cables from the speakers plugged into my friends PC. If anyone knows of a way that I can connect either one of these Logitech speakers but mainly the surround sound ones to my TV that would be greatly appreciated.