DanTana,
First I started with just checking the mags. All were working OK. I could feel that they were sticking a tiny bit, but they still fell free. I could hear them laughing at me saying, "Watch, we'll work now, but when he gets to the range we'll all stick.
Rastoff,
I went through this with a CZ PCR, where the problem wasn't consistent. It turned out to be the rubber grips binding the magazines. That's not relevant to your M&P, of course, but the diagnostic might be.
I coated both the magazine well and a magazine pretty heavily with smoke from a candle. Gently inserted the magazine and then released it. The marks in the soot show where the magazine makes contact with the frame.
(You can get water-soluble "spotting ink" that will do a better job, but I already had a candle....)
I had to repeat a few times to figure out what was supposed to rub and what wasn't, but it did show me where I needed to file & fiddle.
Doc