I want to use my X51 i7 3770 cpu in a new motherboard.

Hi, im having trouble figuring out the exact chipset of the Alienware x51 i7 3770. I purchased a new case, power supply and gpu for the project. I also jumped the gun and wasted money on a motherboard with a lga1150 socket that i thought would work but was mistaken in the end. I noticed on the stock x51 mb it had 115x lm on the cpu socket, however i wasnt sure if that was the actual socket code or something else.  I would like to know if anyone could inform me on which motherboard socket code would support my cpu or direct me to any suitable mini ITX motherboards that will support the Alienware i7 3770.