Réponse :
Explications étape par étape
Bonjour
84/2 = 42
42/2 = 21
21/3 = 7
7/7 = 1
84 = 2^2 x 3 x 7 = 6 x 14
270/2 = 135
135/3 = 45
45/3 = 15
15/3 = 5
5/5 = 1
270 = 2 x 3^3 x 5 = 6 x 45
PPCM (84 ; 270) = 6 x 14 x 45 = 3780
PGCD (84 ; 270) = 6
PPCM et PGCD de 450 et 750 :
450/2 = 225
225/3 = 75
75/3 = 25
25/5 = 5
5/5 = 1
450 = 2 x 3^2 x 5^2 = 30 x 15
750/2 = 375
375/3 = 125
125/5 = 25
25/5 = 5
5/5 = 1
750 = 2 x 3 x 5^3 = 30 x 25
PPCM (450 ; 750) = 30 x 15 x 25 = 11225
PGCD (450 ; 750) = 2 x 3 x 5 = 30
