It will work fine for the 7x57. I did it with a 110 in 7 mag with no problems. The other 2 cartridges are short action cartridges and may cause feeding problems from the long magazine. Putting a filler in the rear of the long magazine may work. Changing magazines isnt feasable. Someimes feeding isnt a problem and sometimes it is from the long magazine. That according to what I have seen on this forum. If either of those solutions doesnt work then a single shot follower is the other option. Maybe someone will chime in with a better solution.

El Lobo