"Well" is subjective. I don't use the same powder for all of them. It all depends on what you want to do. If you want bunny fart loads, you're going to need a different powder than if you want "hot" loads. Hot loads in all of those calibers generally won't use the same powder. Are you weighing each powder drop or are you using an auto powder measure?
Next comes personal preference. Some guys will recommend titegroup for everything. I personally don't like titegroup, and some love it ¯\_(ツ)_/¯
Then you have availability. You moght have problems finding the powder you want and have to settle with a compromise powder that works well in one caliber, and ok in the others.
Next question is, what bullet weights are you shooting, and are they lead or plated or jacketed?
Moral of the story? Get a recent reloading manual and read through it, then do some googling anoit the load combination you're considering.