In a match that the Reds dominated, it was actually Newcastle that had the game’s first chance - forward Joselu really should have done better when he headed Matt Ritchie’s pinpoint cross wide of the target.
The visitors were made to pay for that miss as first of all Xherdan Shaqiri flashed a Sadio Mane cross wide of the target, before the Reds then opened the scoring in emphatic fashion as Dejan Lovren sent a crisp half-volley into the roof of the net after latching onto a poor headed clearance from Jamaal Lascelles.
Liverpool continued to dominate for the rest of the half but they didn’t create too much other than a Sadio Mane half opportunity and a Shaqiri deflected free kick that was tipped over the crossbar by goalkeeper Martin Dubravka.
However, less than two minutes into the second period and the Reds won a penalty when Mohamed Salah was fouled in the area by Paul Dummett.
Salah, himself, took the spot-kick and clinically sent the ball beyond the outstretched dive of Dubravka.
Liverpool continued to dominate after that, with Newcastle preferring to adopt a damage limitation approach.
The Magpies were made to pay for that, however, as on 79 minutes, Shaqiri tapped home from close range to make it 3-0 after a low cross into the box from Trent Alexander-Arnold.
Substitute Fabinho then added some extra gloss to the scoreline on 85 minutes, heading home Salah’s near post corner, although, on this occasion, the Newcastle defending left a lot to be desired.
Mane and Daniel Sturridge could have added further goals for Liverpool late on, while Newcastle youngster Sean Longstaff was denied a consolation in stoppage time after a good save from the otherwise underworked Alisson.