Hi,

You can follow the steps below to have a goog FPS rate on your laptop:

Step 1. Get the latest drivers for your graphics card

Head to Device Manager in the Control Panel and click on Display adapters. You'll see the name of your graphics card.

Then, head to the relevant website to get the latest drivers. This will be either Intel, Nvidia or AMD. Don't go to the card manufacturer's site, such as Asus, MSI, Gigabyte or Sapphire.
Be sure to choose the correct model of card, and the appropriate operating system.

Once downloaded, install the drivers and reboot your PC if necessary. Depending on the game, you might get up to 30 percent better performance with just a driver update.

Similarly, check if there's an update to the game itself. If you bought it via Steam, it should be updated automatically. Otherwise, check the game developer's website.
Finally, make sure Windows itself is fully up to date. Unless you chose to disable the feature, updates should be installed automatically.

Step 2. Configure your Operating System
Underpowered systems may not be able to run the graphical features of Windows and League of Legends effectively at the same time.
You can turn off many of the advanced graphical features within Windows to improve your system's performance.
While underpowered machines will see the most benefit from this step, most PCs may see an increase in performance by changing these settings:

1. Right-click Computer
2. Select Properties
3. Select Advanced System Settings
4. Select the Advanced tab.
5. Click Settings under Performance
6. Select the Adjust for best performance radial
7. Move to the Advanced tab
8. Select the Adjust for best performance of: Programs radial

I hope this helps.

Regards,
Lokesh