Manchester City and bottom of the English Premier League regained a 4-1 win at Burnley on Tuesday in the 15th round.
Crystal Palace moved up to fifth in the table with a 10-0 win over Bournemouth.
Gabriel Jesus (24, 50), Rodrigo Hernández (68), Riad Mehrez (87) and Robbie Brady (89) scored at Turf More.
Mehrez became the ninth African player to reach the 50th goal (39 for Leicester and 11 for Man City) in 177 matches, and also reached his 100th goal in his professional career.
The win lifted the Citizens to 32 points in second place, eight points behind leaders Liverpool and goal difference from third-placed Leicester, while Burnley had 18 points in 11th place.
Liverpool meet Everton on Wednesday and Leicester City host Watford.