Previously, Break.com’s Facebook page had 273k fans, but 339k active users. You don’t have to be a fan to interact with the page, so being a “fan” is not as important as it once was.
Likely, the fans are first to consume the content, who then activate others to like, comment, and share. These secondary interactions are key to the high engagement. The fact that people can “like” the content and also “like” the page is an intentional confusion on Facebook’s part.