Like most mainboards for laptops it will be specifically designed for that chasis model, some are spread across a couple of ranges also, I think ECS made these, is there anything like a chasis number on the base sticker.
Oh good luck with this model, its a proper pain in the arse to change, I've done quite a few of them at work but its a proper screw fest, the whole bottom case has to come off so just make sure you keep a good note of where all the screws go as they are quite a few different sizes.
edit, a quick search and I've found the part number its 82GL70200-C0F if you google this there is a company selling them for £130ish.
