Divide Members into Teams?

Divide Members into Teams?

I'm working on a big project and all the members are divided into teams, eg. Marketing team, PR team, Technical team etc. Is there a way I can divide everyone into teams so they can email/ communicate with each other and share files etc. easily? I just don't want tasks of one team to clutter up the space for the other team.

I know I can divide them into projects, but then I won't have a comprehensive calendar for the whole project.

What's the best way?