Les Rouges et Blancs made it six wins in a row in all competitions as goals from Boschilia, Guido Carillo and a brace from Valere Germain saw them cruise past Rudi Garcia's side.
The result moved them to the top of the table, with rivals Nice and Paris Saint-Germain both due to play on Sunday.
Monaco have impressed in recent years, with boss Leonardo Jardim earning widespread praise for his ability to mould his young squad.
It appears the Portuguese has found the perfect blend this season and versatile midfielder Fabinho believes they are ready to push for the club's first title since 1999-00.
"We're not going to put limits on ourselves," Fabinho said. "Go for the title? I think so, yes.
"It's us against Paris Saint-Germain and Nice now, and we're going to try and keep going like that."
Ligue 1 last week