Laptop screen and fan won't turn on?

I was on my Lenovo Yoga 13 laptop and the fan was suddenly running very fast because I was gaming, then the laptop shut down (Was on flat table surface). When I turn on my laptop, the power light is on; however the screen is black and the fan tries to spin, but does not fully spin and stops. The fan area makes a mechanical noise like the fan is broken. Is that the case and I have to replace the fan or something else?

Just go to repairing shop and tell the shopkeeper about the problem and get the solution.

Sounds like you overheated the unit best thing to do is take it to shop to see if it can be repaired

There could be numerous causes of this issue, like: motherboard, overheating, heat sink fan assembly. You may want to try connecting an external monitor to rule out the LCD first. If no display on external monitor then its the motherboard.