Polygamy and Polyamory are Gender Neutral Terms
Numerous articles about polygamists have appeared online over the past ten or so years. Polygamy naturally sometimes goes hand in hand with it as well. While polygamy involves several wives, polyamory is the practice of having many love relationships. However, those two phrases are gender-neutral and can be used to describe anyone. There is a gendered phrase for both men and women who engage in relationships with numerous persons if you wanted additional detail.
A woman who has several husbands is known as a polyandrist. On the other hand, a polygynist is a man who has several wives. Since males seem to practice polygamy far more frequently than women do these days, even though it was allegedly much more widespread in the past, you typically hear about polygamists as opposed to polygynists. You may probably presume that if it involves a person dating multiple persons of different genders, you can just assume polygamy or polyamory to simplify things.