BSOD while playing LoL and even idle in Win7

Encounter first BSOD while playing LoL initially.
Then it happened frequently when i am just idling in Windows.
Attached above is the requested files, for your kind advise please.

Attachment 242986

For your kind assistance/advise please.

Thank you very much in advance.

Code:

Windows 7 Kernel Version 7601 (Service Pack 1) MP (4 procs) Free x64
Product: WinNt, suite: TerminalServer SingleUserTS Personal
Built by: 7601.17944.amd64fre.win7sp1_gdr.120830-0333
Machine Name:
Kernel base = 0xfffff800`0304f000 PsLoadedModuleList = 0xfffff800`03293670
Debug session time: Sun Nov 25 08:45:05.668 2012 (UTC + 5:30)
System Uptime: 0 days 0:01:53.823
Loading Kernel Symbols
...............................................................
................................................................
...................
Loading User Symbols
Loading unloaded module list
....
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*                                                                             *
*                        Bugcheck Analysis                                    *
*                                                                             *
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Use !analyze -v to get detailed debugging information.

BugCheck 4E, {2, 3f587, 12ffff, 8}

Probably caused by : memory_corruption ( nt!MiUnlinkPageFromLockedList+8d )

Followup: MachineOwner
---------

This is a sign on memory problem..

Please perform memtest

Memtest86+ - Advanced Memory Diagnostic Tool

Wait for few hours and post back the results