Joel Matip's 30th-minute strike and a pair of Mo Salah penalty conversions gave Liverpool a three-goal lead at half-time.
The hosts kept a firm grip on the game although Marcelo Bielsa's men looked to have stemmed the flow of goals before a Sadio Mane brace and a bullet Virgil Van Dijk header in the final ten minutes heaped further pain on the Whites.
As part of a miserable evening for the Elland Road outfit, Burnley also recorded a 1-0 victory at home to Tottenham Hotspur to leave Marcelo Belsa's side just three points clear of the drop zone and the 18th-placed Clarets have two games in hand.
Graham Smyth, the YEP's chief football writer, hands out the scores from a night to forget for Leeds at Anfield.
As part of a miserable evening for the Elland Road outfit, Burnley also recorded a 1-0 victory at home to Tottenham Hotspur to leave Marcelo Belsa's side just three points clear of the drop zone and the 18th-placed Clarets have two games in hand.