Sadio Mane scored twice and Philippe Coutinho, Emre Can, Roberto Firmino and Giorginio Wijnaldum got the others as Liverpool moved one point above Chelsea.
Coutinho had already hit the woodwork before Mane got things rolling with the opener and Coutinho and Can made it 3-0 at halftime.
Roberto Firmino added a fourth in the second half before Mane got his second and though Daryl Janmaat grabbed a consolation, Wijnaldum scored the sixth to send them top.
Earlier, Arsenal missed the chance to go top when they were held to a 1-1 draw by Tottenham at the Emirates.