Naby Keita gave the Reds an extremely early lead before Sadio Mane and Mohamed Salah both netted braces.
Here are five talking points from the match...
The perfect start
Any signs of nerves at Anfield disappeared after just 15 seconds of play.
It all started with a high press from the eventual goalscorer. Keita sensed an opportunity and forced Jon Gorenc Stankovic into conceding posession.
Salah then played the midfielder through as the No.8 finished beyond Jonas Lossl for his third goal in a Liverpool shirt.
The Reds' 100th goal of the campaign goes down as the club's quickest-ever strike in the Premier League.
Salah and Mane's potency continues
100 has been a prominent figure for Salah this week.
On Tuesday, the Egyptian was in New York City for the TIME 100 Gala after the renowned magazine recognised him as one of the 100 most influential people in the world.
And the 26-year-old then brought up a century of appearances for Liverpool on Friday night, celebrating that landmark figure with goal No.68 and No.69 for the club.
He also went some way in his push to retain the Golden Boot award.
Meanwhile, Mane's inclusion in the PFA Premier League Team of the Year earlier this week may not be the last personal accolade he picks up this season.
Indeed, the speedster's two headers sees him remain just one behind Salah in terms of league goals.
It's truly incredible goalscoring levels from the pair.
Alisson goes level with Pepe
Another clean sheet for Alisson Becker extended his lead as the goalkeeper with the most shutouts in the Premier League this season.
But clean sheet No.20 also put him level with the club record Pepe Reina set in the 2005-06 campaign and again in 2008-09.
A flawless defensive performance against either Newcastle United and Wolverhampton Wanderers will see the Brazilian make history.
What a start to his Liverpool career.
Oxlade-Chamberlain makes his comeback
The noise levels in the 73rd minute said everything.
One year and two days on from suffering that serious knee injury against AS Roma in the Champions League semi-final, Alex Oxlade-Chamberlain made a return to competitive action.
After starting on the bench, the midfielder received a standing ovation from the Anfield crowd when he replaced Daniel Sturridge.
He could have made his return even sweeter, but was denied a goal by Lossl just minutes into his cameo.
Regardless, what a sight it was to see the 25-year-old back on the pitch.
90s delight
With another three points in the bag, Liverpool's tally in the league broke the 90-point mark.
The last time that occurred was in the 1987-88 season.
Jürgen Klopp's side can add six more to their current 91 and hope it's enough to secure the title.
A trip to Newcastle United is up next for the Reds.