I was surprised to hear a short while ago that this was only LSU’s 4th national title in the AP Poll era (and the announcers were referring to combined AP titles and the BCS title LSU won in 2003 when USC finished as  AP #1),  I think that was the only split title in the BCS/CFP era.

So I looked at the list of AP champions, and it was fascinating to see how few Nattys some of the major powerhouses have won.  Prior to the late 1960s, the final poll was done prior to the Bowl games. 

Here is the list of the teams with at least three titles—and please notice which team is not on this list despite the fact that its fans like to think they root for the most storied program in college football:

School Number Seasons
Alabama 11 1961, 1964, 1965, 1978, 1979, 1992, 2009, 2011, 2012, 2015, 2017
Notre Dame 8 1943, 1946, 1947, 1949, 1966, 1973, 1977, 1988
Oklahoma 7 1950, 1955, 1956, 1974, 1975, 1985, 2000
Miami 5 1983, 1987, 1989, 1991, 2001
Ohio State 5 1942, 1954, 1968, 2002, 2014
USC 5 1962, 1967, 1972, 2003, 2004
Minnesota 4 1936, 1940, 1941, 1960
Nebraska 4 1970, 1971, 1994, 1995
Clemson 3 1981, 2016, 2018
Texas 3 1963, 1969, 2005
Florida State 3 1993, 1999, 2013
Florida 3 1996, 2006, 2008
LSU 3 1958, 2007, 2019

[MOD Edit:  Good topic, but please be more descriptive in your titles]