.22 Long Rifle, per SAAMI specs, calls for a bullet diameter of .2255" - .004", a bore diameter of .217" + .002" and a groove diameter of .222" + .002".
.22 WMR, per SAAMI specs, calls for a bullet diameter of .2245" - .004", a bore diameter of .219" + .002" and a groove diameter of .224" + .002".
SAAMI doesn't have dimensions for 5.56 x 45 because that's a military cartridge, but they do have .223 Remington. .223 Reminton, per SAAMI specs, calls for a bullet diameter of .2245" - .003", a bore diameter of .219" + .002" and a groove diameter of .224" + .002".
I think you'll be just fine using the same bore brush on all your "two-twos."