The laptop turn on but with black screen.

@abdulghani11265 you got a couple of things going on here. The very first one to fix is "the fan don't work and the laptop is overheated" this. Replace the fan first. Download the Hardware Maintenance Manual https://download.lenovo.com/consumer/mob.... Page 40 will show you how to replace the fan etc.

Once you have this done, you can focus on your LCD. With your computer actually working, you need to connect an external monitor. Should that work, it is most likely a failed LCD or an issue with the motherboard. We would need to find out if it does or does not work, after you fix your computer and what the external monitor shows,