I'm not sure what you are trying to do. Do you want them all to live in the same cage? Females are territorial and will fight each other so having three in the same cage could be trouble. Chinchillas mate for life and need to bond before they breed. You can't put a male in with one female then remove him and place him with another. They take time to bond and take the male into their cage. If you put them together too fast they will kill each other.
If you want to breed one male to several females I recommend ranch run breeding. If you do a search you will see pictures of the special cage where each girl has her own cage and they are connected by a tunnel. The females wear a collar that is too big to fit in the tunnel. The male has his own cage as well but can visit the females through the tunnel.