CDN integration with Adobe HLS streams

I am trying to work with HLS using FMS4.5. We have live streams and on-demand streams which can be 4 hours long duration and can have 3000-5000 users.

Definitely, i don't want all the users fetch the segment(.ts) files from my FMS. and increase load on the server.

What is the best practice to handle such a situation? Can CDNs help in this case? If yes, how?