Facebook Open Graph - Grab how many times a page has been liked?

Question

I have a site that allows users to create a saying and then users "like" those sayings on Facebook.

http://www.likeylikey.net/

I got a friend to throw up this simple code in less than 2 hours so it's basic. He knows little to nothing regarding the Open Graph API.

Basically, I want to know how I can programmatically store how many times a page has been liked so I can list a "Top 10, most liked pages" list. Right now the index shows a list of all created pages and now I just wish to show the 10 most liked but I need a way of pulling that information from Facebook.

Is this possible?