Bayern gets the job done in a fairly unassuming fashion.
Lewandowski scored his 39th goal of the season from the penalty spot when Goretzka was fouled after half an hour, and Choupo-Moting made sure the tie was done with a cheeky chipped finish just 121 seconds after replacing Lewandowski from the bench in the second half.
Parolo headed in a late consolation for Lazio, who didn’t discredit themselves by any means, but overturning a three-goal deficit always looked too much of an ask for the visitors.
But Bayern never looked in any danger of making a surprise exit.
Lewandowski went within inches of his 40th of the season in the second half before being withdrawn.
Bayern joined fellow German side Borussia Dortmund in the last eight and Lazio’s exit means no Italian team will compete in the Champions League quarter-finals, with Juventus and Atalanta having also exited at the last-16 stage.
Chelsea has beaten Atletico Madrid in tonight’s other tie, joining Bayern, PSG, Borussia Dortmund, Liverpool, Real Madrid, Manchester City, and Porto in the last eight.
The draw for the quarter-finals will be made on Friday.