Our Class C on the E450 chassis came with a lug wrench. I also carry a 6 ton bottle jack, a short piece of 1x6 board to sit the jack on in case the ground surface is soft, plus a torque wrench and a 19mm socket.
In 13 years and 93,000 miles of travel I have never had a need to change a flat. I'm on my 3rd set of Michelins with the older tires replaced due to age.
When I buy new tires, I always re-torque the lug nuts, as the guys with the impact wrenches always seem to over tighten the nuts. With some of the nuts, I have to stand on the end of the lug wrench in order to loosen them so I can properly re-torque them.
For our E450 the correct torque of 140 ft-lbs is stamped on the end of the nuts, as seen in this picture.

One additional thing - The rear wheels can rust to the axle hub, making them very difficult to get off. When I changed the brake pads on the rears a couple of years ago I had to use the trick of loosening the lug nuts a turn or so, then rolling the RV forward a little and jamming on the brakes. This broke the rust bond so the wheels could come off. Never had this issue with the front wheels.