The result also meant that the Reds finally beat a top-half team in the league for the first time this season, and that wasn't the only notable statistic from the game.
The Reds had previously failed to score against Swansea in the league since their return to the top flight, had not kept a clean sheet in five matches and missed their last penalty—all of which were put right this time around.
As an added bonus for Liverpool, the newly signed Philippe Coutinho marked his full debut with a goal. There was a lot of talk in the pre-January transfer window about the Reds signing some help for Luis Suarez as the goal-getters of the side. While the arrival of Daniel Sturridge certainly aided in that regard, more players still have to step up for the Reds.
Coutinho's goal then, on just his second appearance for the team, offers some hope that in time he can become one of those who contribute regularly to Liverpool's scoresheet.
Elsewhere in the game, the Brazilian was in and out of the match, getting involved infield and linking up nicely with Suarez and Jose Enrique, but also working hard off the ball and showing a willingness to attack with the ball at his feet.
Liverpool's third goal will be long remembered; some quick exchanges of passes down the left led to Enrique poking in after linking up with Sturridge, Suarez and Coutinho—and both of the Reds' forwards wrapped up the win with goals of their own.
Sturridge and Suarez have now played seven games in all competitions alongside each other and between them have netted an impressive 10 goals.
The 5-0 win for Liverpool lifts them up to seventh in the league table, above their opponents Swansea.