The Reds took the lead with just eight minutes gone as Mohamed Salah expertly teed up Sadio Mane for the opener.
Mane then had a hand in the visitors’ second, with his reverse pass enabling James Milner to square across the six-yard box for Roberto Firmino to divert in from close range.
Firmino tapped in a third just after the break before more majesty from Salah furthered Liverpool’s advantage as the Egyptian bamboozled a clutch of home defenders prior to sweeping in with another goal-of-the-season contender.
The fifth and final goal saw Firmino complete his hat-trick in the last seconds, sending Jürgen Klopp’s side clear at the summit ahead of Chelsea’s tie at Brentford later in the day.