Laptop crashing and having weird issues in general (t60)

Recently Ive been having problems with my thinkpad t60 crashing constantly. Gets worse if I use it for a longer duration. Google chrome also crashes very often and gives me the "Aw Snap!" page. I had the hard drive replace few weeks ago, and it's still having this problem. Is there something wrong with the main board? Everything seems to be working fine, and then out of nowhere, it crashes. My other t60 with same exact setup (only difference is ati graphics card) never had this problem.
From the exterior, the fan still runs no problem, no noticeable overheating, and all keys and buttons work.

 

I would double check your temperatures, just to be sure with like HWMonitor. Do you get an actual BSOD or does power just cut off?

 

test your memory with MemTest86+

 

Memory should be your number 1 suspect. I had 1 faulty memory module that caused the same issues.

Try Memtest86+ but sometimes one program is not enough to fully test the system. I find Prime95 64bit (If more than 4GB ram) to be one of the best memory and cpu stress tests, most overclockers use it to test the stability of their systems.

When I had a faulty ram module I couldn't run Prime95 64bit for more than 2min without the laptop completely locking up. In the end it froze and simply wouldn't even boot anymore. I swapped out my ram 1 by 1 and identified the faulty stick. I could of changed just the one stick but I decided to swap out all my memory for a better brand (Crucial). Now I can run Prime95 for hours without problems and most important my system is rock stable, no random reboots, nothing.