At some point you'll have a weird problem, or a load spike that shows up at regular intervals. If all of your intervals are 5/15/30 minutes, you will have 2 things running every 15 minutes and 3 things running every 30 minutes, you won't necessarily know which one causes the issue.
If you use (co)prime numbers, say, 5/7/11/13/17/19 as intervals: One, you won't have a thundering herd of tasks all running at the exact same time every few minutes, and two, when someone notices a weird issue that happens every 17 minutes, you will know exactly what the cause is.