From the LoL forums it says:
"The following are the minimum and recommended system requirements for running League of Legends on a PC:
Minimum System Requirements:
2 GHz processor
1 GB RAM (Windows Vista and 7 users will want 2 GB of RAM or more)
2 GB available hard disk space
Shader version 2.0 capable video card
Support for DirectX v9.0c or better
Windows XP, Windows Vista, or Windows 7. (Note: Mac OS and Linux are not currently supported.)
Recommended System Requirements
3 GHz processor
2 GB of RAM (Windows Vista and 7 users should use 4 GB of RAM or more.)
6 GB available hard disk space
GeForce 8800 or equivalent video card (Dedicated GPU with 512MB+ Video Memory(VRAM))
Support for DirectX v9.0c or better.
Windows XP with the latest service pack installed, Windows Vista with the latest service pack installed, or Windows 7 (As stated above: Mac OS and Linux are currently not supported.)
The latest update to .NET Framework from Microsoft"
Now I have no clue about PC hardware and I was wondering what sort of computer that equated to, give me a name or something I can look up Dx Cheaper the better if possible