As you can see at Parts-People, there are many motherboards for that laptop. it's more complicated than just the choice of CPU. Here's some information from one of their listings: So, you may want to contact Parts-People to learn which motherboards are compatible with your laptop.
Hello.  I have a Dell e5470 (with i5 6300 hq) that the motherboard if failed.  I look at ebay for replacement and I found a motherboard with i5-6440hq instead and I would like to know if it is direct fit.  Thanks. 
E5470 motherboard upgrade