Curtis Jones scored twice as in-form Liverpool brushed aside hapless Leicester to maintain their recent winning streak and push the Foxes closer to Premier League relegation.
Jurgen Klopp's side have won their past seven games to bolster their push for a top-four finish and now lie a point behind Newcastle and Manchester United, albeit having played a game more.
Another dismal loss for Leicester leaves the 2016 Premier League champions firmly rooted in danger in 19th position, two points adrift of safety with only two games remaining.
The Reds scored twice in the space of three first-half minutes through the same combination, Mohamed Salah twice feeding Jones who finished confidently to claim his first Premier League double.
It should have been 3-0 before half-time but home goalkeeper Daniel Iversen made a superb reaction save to deny Cody Gakpo from close range.
Salah claimed his third assist in the second period by laying off a free-kick for Trent Alexander-Arnold to curl a sublime finish into the top corner.
Liverpool maintain hunt for top-four finish
Has Liverpool's charge for a Champions League spot come too late?
The two Uniteds above them need two wins from their last three games to guarantee a top-four finish but Liverpool are right on their tails and poised to profit from any mishaps.
The Reds started slowly at Leicester, Luis Diaz smashing into the side-netting and Fabinho blazing over the pick of their early openings.
But they clicked into gear on the half-hour mark as midfielder Jones took his tally to three goals in his last four games.
His first was a controlled finish at the far post from Salah's deep cross and the second he thumped home following the Egyptian's through ball.
Salah provided a hat-trick of assists by rolling the ball off for Alexander-Arnold's stunning second-half strike, but the Egyptian must wait for his 20th goal of the campaign after a remarkable miss late on, putting wide when through on goal.
Liverpool face European-chasing Aston Villa at home on Saturday and round off their season against relegated Southampton knowing maximum points in those games may complete a stunning turnaround in an otherwise disappointing season.
Foxes continue wretched run
Leicester look doomed and are prime candidates to join Southampton in the Championship next season.
The Foxes have collected just one win in their last 14 games - earning six points in total during that run - and lost at home for a club-record equalling 10th time this season.
Their frailties lie at the back where boss Dean Smith made another change by giving a start and handing the captain's armband to Jonny Evans, who has played one minute of top-flight football in the last seven months.
But it was ill-fated defensive partner Wout Faes - the scorer of two own goals in December's reverse fixture - who was culpable for both of Jones' strikes.
The Belgian lost the flight of the ball for the first, failing to clear as the it dropped from the sky, and was caught out of position for the second, running out to intercept a pass without success.
The hosts had shown bright sparks early on but their confidence ebbed away alarmingly once they conceded.
Harvey Barnes forced Liverpool goalkeeper Alisson into a fine flying save with a curling effort in the second half, but the sorry home side never looked like making a comeback.
The Foxes have fixtures remaining at Newcastle and home to West Ham as they bid to avoid the ignominy of relegation just seven years after their remarkable title triumph.
Player of the match
JonesCurtis Jones
Leicester City
Squad number31Player nameIversen
Squad number10Player nameMaddison
Squad number7Player nameBarnes
Squad number6Player nameEvans
Squad number21Player nameRicardo Pereira
Squad number9Player nameVardy
Squad number8Player nameTielemans
Squad number25Player nameNdidi
Squad number27Player nameCastagne
Squad number3Player nameFaes
Squad number15Player nameSouttar
Squad number42Player nameSoumaré
Squad number20Player nameDaka
Squad number33Player nameThomas
Squad number37Player nameTetê
Line-ups
Leicester
Formation 4-2-3-1
31Iversen
21Ricardo Pereira3Faes6Evans27Castagne
42Soumaré25Ndidi
10Maddison8Tielemans7Barnes
9Vardy
31Iversen21Ricardo PereiraBooked at 53minsSubstituted forThomasat 67'minutesBooked at 90mins3Faes6EvansSubstituted forSouttarat 89'minutes27Castagne42Soumaré25NdidiSubstituted forDakaat 61'minutes10Maddison8Tielemans7BarnesSubstituted forTetêat 61'minutes9VardySubstitutes
12Smithies15Souttar16Kristiansen18Amartey20Daka24Mendy26Praet33Thomas37TetêLiverpool
Formation 4-3-3
1Alisson
66Alexander-Arnold5Konaté4van Dijk26Robertson
14Henderson3Fabinho17Jones
11Salah18Gakpo23Díaz
1Alisson66Alexander-Arnold5KonatéBooked at 86mins4van Dijk26Robertson14HendersonSubstituted forMilnerat 74'minutes3Fabinho17JonesSubstituted forCarvalhoat 84'minutes11SalahSubstituted forElliottat 88'minutes18Gakpo23DíazSubstituted forJotaat 74'minutesSubstitutes
2Gomez7Milner19Elliott20Jota21Tsimikas28Carvalho29Arthur32Matip62KelleherReferee:Craig PawsonAttendance:32,225Live Text
Match ends, Leicester City 0, Liverpool 3.
Second Half ends, Leicester City 0, Liverpool 3.
Luke Thomas (Leicester City) is shown the yellow card for a bad foul.
Cody Gakpo (Liverpool) wins a free kick in the attacking half.
Foul by Luke Thomas (Leicester City).
Offside, Leicester City. Wout Faes tries a through ball, but James Maddison is caught offside.
Substitution, Leicester City. Harry Souttar replaces Jonny Evans.
Foul by Fabinho (Liverpool).
James Maddison (Leicester City) wins a free kick in the defensive half.
Attempt blocked. Harvey Elliott (Liverpool) left footed shot from the centre of the box is blocked. Assisted by James Milner.
Attempt saved. Jamie Vardy (Leicester City) right footed shot from the centre of the box is saved in the bottom right corner.
Substitution, Liverpool. Harvey Elliott replaces Mohamed Salah.
Ibrahima Konaté (Liverpool) is shown the yellow card for a bad foul.
Foul by Ibrahima Konaté (Liverpool).
James Maddison (Leicester City) wins a free kick on the left wing.
Foul by Fábio Carvalho (Liverpool).
Boubakary Soumaré (Leicester City) wins a free kick in the defensive half.
Substitution, Liverpool. Fábio Carvalho replaces Curtis Jones.
Corner, Liverpool. Conceded by Wout Faes.
Corner, Liverpool. Conceded by Luke Thomas.
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