A CPU cooler that will go with this build?

Atevoh

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Aug 19, 2016
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http://pcpartpicker.com/list/XjCKpb

Hello I was wondering what CPU coolers could go with this build, that are max price $50, some what quiet, well rounded RPM, and would fit my case. Which has a max width of 150mm, so something below this please. Oh and also which will come with thermal paste installed and which wont. Thanks guys let me know!!!!
 

Atevoh

Reputable
Aug 19, 2016
48
1
4,535
oh, and PCpartpicker it is compatible, but when I go to stuff like amazon, the LGA1151 socket isn't compatible with it? Who do I trust? It usually says, 1150,1155,1156. no 1151.