Mbappe got four of the eight goals, with the striker’s first three coming in the opening 30 minutes
He completed the rout with a late fourth.
Karim Benzema got two after the break. Adrien Rabiot and Antoine Griezmann, with a penalty, were the other scorers.
Mbappe’s hat-trick was the first by a France player in a competitive international since Dominique Rocheteau in 1985.
His first came in the sixth minute when he turned in an early cut-back before he finished a Kingsley Coman cross from close range and headed in a third.
Victory guarantees France will top Group D as they have 15 points, four clear of second-place Finland with one game remaining