LOS ANGELES -- LeBron James made the tying layup with 0.8 seconds left in regulation before scoring four of his 22 points in overtime, and the Los Angeles Lakers surged to a 3-1 lead in their first-round playoff series with a 117-111 victory over the Memphis Grizzlies on Monday night.

James also grabbed a career playoff-high 20 rebounds and added seven assists and two blocked shots while committing just one turnover in his 270th playoff game, extending his own NBA record. He became the first Lakers player to put up 20 points and 20 rebounds in a playoff game since Shaquille O'Neal in 2004.

At 38 years and 115 days old, James is also the oldest player ever with a 20-point, 20-rebound game, including regular season and playoffs.

"He just took over down the stretch," Anthony Davis said of James. "Got us a bucket to get to overtime. ... All our guys, it was a good team effort. This team is not going to go away."

Austin Reaves scored 23 points and Davis had five of his 12 in overtime for the seventh-seeded Lakers, who have won two straight home games to move to the brink of their first playoff series victory outside the Florida bubble since 2012.

Los Angeles surged back from a seven-point deficit with five minutes left in regulation with a rally that abruptly began when D'Angelo Russell hit three consecutive 3-pointers, and the Lakers never trailed in OT.

"I'm so proud of our guys, the way we fought," Lakers coach Darvin Ham said. "We found a way."

James now has eight game-tying or go-ahead field goals inside the final 5 seconds of the fourth quarter or overtime for his playoff career, which is double any other player over the last 25 postseasons. Kobe Bryant has the next most with four.

Game 5 is Wednesday night in Memphis.

Desmond Bane scored 36 points and hit a tiebreaking layup with 6.7 seconds left in regulation for the second-seeded Grizzlies, who will have to rally from a 3-1 series deficit and win a Game 7 for the first time in franchise history to advance.

Ja Morant scored 19 points with his injured right hand, but Davis blocked his jumper at the regulation buzzer. The Grizzlies then missed six of their first eight shots in overtime while committing two key turnovers.

Dillon Brooks, who dismissed James as "old" after Game 2, had 11 points for Memphis after getting ejected from Game 3 for striking James in the groin.

James coolly scored the basket that forced overtime over heavy defensive pressure, and he hit a huge layup while getting fouled to put the Lakers up by five with 29.1 seconds to play in OT. Dennis Schroder and Reaves buried two free throws apiece to seal the Lakers' 12th win in 15 games dating to the regular season.

The Lakers trailed for much of the second half, and Davis didn't look sharp for much of Game 4 while struggling with an apparent hip injury that required a heating pad on the bench. But Davis blocked four shots, and the Lakers excelled whenever the big man was protecting the rim.

Morant's 45-point performance in Game 3 wasn't enough to dig the Grizzlies out of an early 29-point hole in his first game back from an injury absence with a sore right hand. He then reacted with obvious pain after he jammed the hand into the ground again during the second half of Game 4, but kept playing and even dunked on Rui Hachimura an instant before the third-quarter buzzer.

The Grizzlies fell behind by an NBA record-tying 26 points after a historically bad first quarter in Game 3, but they dramatically improved their start in Game 4. The Lakers still jumped out to a 15-point lead in the first half before Memphis got back in it with a big surge to close the first half.

ESPN Stats & Information and The Associated Press contributed to this report.