My Momentum triple axle (7K Dexter axles) take a 3/4" socket for the lug nuts and my Dually takes a 13/16" socket for those lug nuts. I carry a Milwaukee 3/8" 400 ft lb electric impact and carry it and the appropriate size Impact sockets as well as two torque sticks for it....one that is 160 ft lbs for the truck and one that is 120 ft. lbs. for the trailer. All the bases are covered with that setup.
A lesson I have learned twice is that just because your lug nuts are 3/4” or 13/16” doesn’t mean any socket or lug wrench of those sizes will work. The recess in the aluminum wheel can restrict what sockets will work. On the road is not when you want to find out the wrench won’t work!