Ottawa took the best-of-seven series 4-1 and put a punctuation mark on its dominance in moving on for the first time since 2007, when the Senators lost in the Stanley Cup Finals to the Ducks.
The victory gives the seventh-seeded Senators time to rest up and heal bruises from the physical series before the conference semifinals begin next week.
Zack Smith, Kyle Turris, Daniel Alfredsson and Erik Condra also scored for Ottawa. P.K. Subban scored for injury-struck Montreal, which scored only nine goals in the series.
Blackhawks 5, Wild 1
In Chicago, Marian Hossa scored twice to back a strong effort by goalie Corey Crawford as the Blackhawks closed out Minnesota in Game 5 of their first-round series.