Severfeather :
Is it possible for a CPU or a motherboard to have a build in graphics card able to play LoL well? Because I am going for a low cost build so if there is a decently priced CPU that also has a graphics card in it then that would be great.
an intel i5-3570k has built in HD graphics and should run LoL just fine, if you want allitle more oomph, go with an i5 4670k, its built in graphics are slightly better, but both should be fine. keep in mind youl need an lga 1155 motherboard for the 3570k, or an lga 1150 motherboard for 4670k.