First, go to the download page for your computer/motherboard. Then, download the graphics drivers (assuming that Intel made your graphics chip). Those should work for your computer; if not, then you have a problem that goes beyond playing a game. Then, try to run LoL again and see if it works. If it still gives the same message, then you might ask the people at LoL about it (since they may have a bug in the program). The only alternative is to upgrade your graphics chip.