The limit is less divorcing the spouses but getting them.

Let's say you are King Solomon and have 700 wives, you could probably go through the paperwork to divorce them all in 2-3 days. But finding new girls to marry? History didn't record when Solomon was born or when in his reign he got to 700, but if it took like 60 years to get to that number, assuming you can go on at the same rate, that's 11-12 wives you can find in a year.

So, 712 divorces as history's greatest pick-up artist.