Large Rifle and large rifle magnum primers are identical in size and shape. If a rifle round takes a large rifle primer, generally, a standard or magnum can be used. You just have to adjust the powder charge accordingly. If it's a smaller case capacity round, and magnum primer is not needed. But it will still work.
Any magnum primer will be "hotter" than a standard primer. Some magnum primers are "hotter" than others. The 2 hottest magnum primers are the Rem 9 1/2 M and Fed 215. These need to be used for larger powder volume cases. I learned, that the CCI #250 is a classified as a magnum primer, but is almost in the middle between a standard and a magnum primer. Years ago I used to use the #250's with my 338 Lapua ammo. I had some hang fires I could not explain. I spoke with the main technical guy at ATK (the parent company of Federal, CCI, and others), and he gave me a lot of good technical data on primers. I switched to the Fed 215 magnum primers for my 338 ammo, and have not had a problem since. If the powder charge is larger than about 60-65 grains, I will use a magnum primer. I even use a magnum primer in my personal 270 Win ammo.
Also, when you step up to a magnum primer, the cup of the primer is thicker. The thicker primer cup can handle a hotter load, and have less chance of a pierced primer. I also use magnum primers in my 300 blk out super sonic ammo for the added benefit of less chance of a pierced primer.