I have a Lenovo G510 and from what i heard the integrated graphics card for this laptop is actually pretty good. However I know there are other factors that decide whether a game runs well or not. I'm not very computer wise so i'll try to list all the specs I can about my laptop.
Operating System: Windows 8.1 64 bit
Ram: 4GB integrated RAM
Processor: Intel Core I5-4200M (It has a base speed of 2.5 GHz, which can be increased up to 3 GHz (both cores) and 3.1 GHz (one core only) via Turbo)
I'm unsure if this is enough information, hopefully it is. If anyone has any idea if this laptop can run skyrim legendary edition please feel free to answer. I don't mind putting all settings on their lowest. I looked online on a website that measures the internal specs and it said that basically all my components are more than enough to run skyrim except for memory ram.