After taking a big first-quarter lead, the Rams (15-7) found themselves down eight points at halftime. But the 5-foot-5 Lucas scored 16 points and shot 10 for 10 from the foul line in the second half to lead the comeback.
Justyn Juhl scored 12 points and had seven rebounds for Central, while Sammy Elliott chipped in 10 points and six boards.
Haley Belgarde led Columbia Falls (17-5) with 19 points. Winter Kemppainen pulled down a game-high 14 rebounds for the Wildkats.
Central will face either Butte Central or Browning in the semifinal round Friday.