Jurgen Klopp was without a host of key men, with Joe Gomez, Jordan Henderson and Mohamed Salah among the latest to join their lengthy absentee list, but they dealt with the threat posed by Leicester with impressive ease considering their circumstances.
Leicester had won all four of their away Premier League games this term prior to Sunday but once they fell behind to Jonny Evans' unfortunate own goal – the sixth of his top-flight career – they never looked likely to end the Reds' run.
Jota made it 2-0 just before half-time, becoming the first Reds player in history to score in his first four Anfield league games, and from there it was plain sailing, Liverpool finally adding a third late on through Roberto Firmino – the Brazilian have previously hit the post twice.
The Reds' positive start belied the depleted nature of their squad, as Sadio Mane headed into the side-netting and Curtis Jones tested Kasper Schmeichel from a tight angle before Evans put into his own net from a corner in the 21st minute.
But they were given a warning soon after when Leicester spurned a glorious chance – Harvey Barnes shooting agonisingly wide of the top-right corner first-time from Jamie Vardy's cut-back.
That was not the start of a Leicester resurgence, however, and Liverpool increased their lead just before the break, Jota glancing an Andrew Robertson cross into the net for his own slice of Anfield history.
Although Liverpool lost Naby Keita to an apparent hamstring problem early in the second half, they continued to dominate and carve out chances.
Schmeichel produced a strong save from the marauding Mane, and then Firmino hit the goal frame with a close-range header.
Firmino, scorer of just two goals in his previous 23 league games, struck the other post again 13 minutes from time in a remarkable sequence that also saw Schmeichel turn a Mane effort on to the woodwork.
But the Brazil international's misfortune finally ended late on when he sent a towering header beyond Schmeichel, as Liverpool ensured they would end the day second in the table.
Depleted or not, Reds always a force
Producing such a professional and dominant performance – and translating that into a similarly comfortable win against fine opposition – is a real accomplishment for Liverpool.
Much has been made of their general defensive issues this season, yet there was little sign of vulnerability there in spite of such a makeshift back four – Leicester only managed four shots on target in the match.
Similarly, going forward Liverpool gave Leicester's defence so much to contend with, their 24 attempts indicative of the control they exerted.
