I have 285/75/16 with a 2" lift and had to do a little bit of trimming in front. Unoticeable unless you stuck your head inside the fender well. 285/75/16 is 1.5" taller and 1" wider than 275/70/16. So if your car has no lift, I would imagine that you would have to do about the same amount of trimming. It's very easy to cut and just take your time and trim a little bit at a time.
Good luck!