Fan problem

Ok well the fan on my laptop is giving me problems now. The other day I was playing league of legends and at the end of the game my laptop randomly turned off and beeped once. I know that it overheated because I had it on my bed. Now when I go to play any game whether is just LOL or CSS the fan doesnt run high like it usually does. Therefore after about 10 minutes of game time my laptop will beep once and turn off. Btw the fan is on just doesn't run high enough to keep the laptop cool when playing a game.

Laptop is a Toshiba Satellite P755-S5320 - Windows 7

Any help would be much appreciated.
 
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