Skinner scored 9.9 on vault, 9.8375 on bars and 9.9125 on the balance beam, then capped off her day with the big floor effort.
While the Utes stress the team competition, co-coach Tom Farden said winning an NCAA all-around title would be a special moment, given how rare it is.
"It's a testament to her hard work," he said. "She looked great tonight. Her legs looked strong and she stuck her vault and just drilled floor. We know when she has fresh legs you better look out."
The Utah freshman entered the NCAAs as one of the favorites, having won 11 of 12 all-around competitions and 10 floor titles this season.
All year Skinner has used the disappointment of being passed over for a spot with the Olympic team as motivation.
On Friday, on college gymnastics' biggest stage, she seemed satisfied enough to have given it her all.
"My first season of college gymnastics, I just wanted to end it the best I can," she said. "I just wanted to get the team into the finals and do the best I could."
Skinner was in a battle for the lead in the afternoon with Oklahoma's Maggie Nichols and UCLA's Kyla Ross. Skinner had an uncharacteristic slight break on the bars when she went over a bit on a handstand, but luckily for her she was able to deliver the big floor routine while Nichols and Ross also faltered.
Ross finished with just a 9.8375 on the vault and Nichols fell on the beam scoring 9.35.
Other favorites, Oklahoma's Chayse Capps and UCLA's Madison Kocian, also had small breaks to take themselves out of the running.
But even if those gymnasts had hit, they wouldn't have been able to finish ahead of Skinner who finished her competition with one of her best floor routines of the year.
Skinner, who arguably has more difficulty in her floor routine than any collegiate gymnast, nailed every pass.
She finished facing Utah's group of fans and immediately went into celebration mode.