Facebook like button not working in IE11

Hi, 

Thank you for contacting Microsoft Community. 

This issue might be due to some third party add-ons installed in Internet Explorer 11. 

1. Are you facing this issue with all browsers or just Internet Explorer?

So I would suggest you to follow below steps and check if it helps. 

Step 1: Try in Internet Explorer no add-ons mode

1. Press Windows key + R and then type iexplore –extoff.

2. Press Enter and try accessing websites.

If everything is working fine, then add-ons may be the cause.

Step 2: Disable Add-ons 

Try the steps provided to enable add-ons individually to determine which of the add-ons may be causing the problem. 

1. Open Internet explorer on desktop.

2. Click the Tools button, click Manage add-ons, and then click Enable or disable Add-ons

3. In the show list, click Add-ons that have been used by Internet Explorer to display all add-ons.

4. Click the Add-ons you want to enable, and then select Enable.

5. Repeat step 4 for every add-on you want to enable.

Add-ons are apps that Internet Explorer uses to interact with web content like videos and games. 

For more information refer (Manage add-ons in Internet Explorer)

http://windows.microsoft.com/en-US/internet-explorer/manage-add-ons#ie=ie-11 

Note: If issue still persists try the Step 3.

Step 3: Reset Internet Explorer 11 

Refer (Change or reset Internet Explorer settings)

http://windows.microsoft.com/en-us/internet-explorer/reset-ie-settings#ie=ie-11 

Disclaimer: The Reset Internet Explorer Settings feature might reset security settings or privacy settings that you added to the list of Trusted Sites. The Reset Internet Explorer Settings feature might also reset parental control settings. We recommend that you note these sites before you use the Reset Internet Explorer Settings feature. Resetting Internet Explorer isn't reversible, and all previous settings are lost after reset. 

Hope this information is helpful. Please do let us know if you need further assistance with Windows, we’ll be glad to assist you.