Hill ran for 142 yards on 14 carries with two scores while Magee also scored twice, finishing with 107 yards on seven rushes for LSU (7-2), which overcame a slow start and scored the game's final 28 points.
Zach Mettenberger made good on 16-of-24 passes for 328 yards, three touchdowns and two interceptions for the Tigers, who racked up their 45th straight non-conference victory.
Odell Beckham scored a pair of touchdowns among his six catches en route to a career-high 207 yards.
Reese Hannon was limited to 107 yards on 16-for-28 efficiency for Furman (3-5).
2014: The Year in Music [PHOTOS]