blew away West Ham at the London Stadium to take an almighty step towards securing Champions League qualification.
Daniel Sturridge, making his first Premier League start since January, beat the offside trap and cooly slotted home to give the Reds a first-half lead.
Philippe Coutinho then struck twice in quick succession after the break before Divock Origi completed the rout.
Having seen Arsenal move to within a point of them by beating Stoke on Saturday, Liverpool had to win to keep their top-four destiny in their own hands.