Hello,
League of Legends is a very demanding game if played max settings at 1080p!
If you add all the characters, mignon/monster, map, skills effects during a 5v5 teamfight, the game become pretty heavy.
On the other hand if you set every graphic setting low, the game is much lighter and can be played easily on low end gpu's.
To answer to your question: No, you will not be able to play LoL max settings 60Fps 1080p with this laptop gpu.
You will be able to play it 720/1080p at low details settings.
