With 50/50 joint custody, could we each claim all 3 kids, stating they lived with us 6 months out of the year? Or do we have to split them, and alternate each year?

Divorced, and first year filing separately, so unsure the best way to claim our children. Our 3 kids spend half their time with me and half with their dad - we share 50/50 physical and legal custody. Instead of one of us claiming 1 kid and the other claiming 2 kids, and alternating every year, could we each just claim all 3 kids, stating they lived with us 6 months out of the year? What would be drawbacks/benefits to doing it that way, if that's even possible?