If you are having "Game Crashed" error after champion select and before loading screen, you just have to go to "League of Legends - RADS - solutions - lol_game_client_sln - releases - 0.0.1.6 (or what is the oldest one)-deploy-"
You will find "LogitechGkey.dll and LogitechLed.dll" cut them and paste anywhere else that u can find later. That is all!