For some reason some lenovo's have that issue. I know my upper end Lenovo (Yoga 710) has the loud fan issue.
I downloaded something called "Fan Control" with that program your able to adjust how and when the fans come on after they reach a certain temperature.
I've read on countless forums that you should update the laptop's BIOS. However, I didn't work for me but the software definitely works.
There are numerous YouTube tutorials as well as google posts on sites for Fan Control.
Good Luck!