Assuming that the moons are not all precisely alike and spaced equally then they would pass each other in their orbits. I always thought that once you had more than 2 of these object (presumably one being the main planet) then you have the classic "N-body problem" which I thought was impossible to calculate. Now I must be mistaken cos NASA go around making grand statements about Saturn and Jupiter so is anyone able to flesh out a bit how they can do it. Or is it their best guess via a super computer thrashing out a numeric simulation. Wasn't it true for example that they stated that some of Saturns moons in its ring system actually swap over orbits when they get close enough to interact ?
My opinion is to the tune of "Hey theres 5 moons - got it, oh before anyone says to the contrary, theres no silly tides cos as DM I say so." and go with that approach. Its much easier than buying a super computer.