Fiala tied it 2-2 at 18:54 when he finished a rebound with his backhand past Markstrom's glove. Fiala has four goals in his past five games.
"He's playing great right now," Kings forward Quinton Byfield said. "His offensive side of the game is there and he's playing good defensively as well. He's helping us when we need him."
After Sharangovich scored, Mikael Backlund shot into an empty net at 18:46 of the third for the 4-2 final.
"It takes everybody, and everybody through the whole lineup," Mangiapane said. "Everyone has a job and an important role. It takes everyone to win for our team. That's what we're doing right now. We're all playing together, playing close and doing it for each other."
NOTES: Markstrom recorded his fifth assist this season on Mangiapane's goal. He is the first goalie with five assists in a single season since Pekka Rinne in 2011-12. ... Los Angeles is 6-4-0 since naming Jim Hiller interim coach on Feb. 2. ... Kings forward Adrian Kempe, who sustained an injury against the Oilers on Monday, was sent back to Los Angeles to be evaluated, Hiller said prior to the game.