League of Legends GPU Analysis
Comparing League of Legends PC system requirements to all GPUs shows that League of Legends is going to need a graphics card that is capable of OpenGL 3.30.

League of Legends makes use of OpenGL 3.30

To get the best visual graphical experience on League of Legends, aim to have a GPU that has at least 512MB GPU RAM.

Most bottom end graphics cards currently available today, will probably allow you to play League of Legends

We are advised that 15 year old graphics cards should be able to run League of Legends, but there could be a few exceptions to this rule.

Note that most games do not officially support laptop graphics cards, but nowadays many laptop graphics solutions are capable of running modern games. Whether desktop graphics cards or laptop, try searching for your graphics card to compare against the League of Legends graphics card requirements chart below.