Question

Utilizando a decomposição simultânea em fatores primos,calcule.
A )mmc(15,25):
B)mmc(16,26):
C)mmc(18,21):
D)mmc(42,56):
E)mmc (48,60):
F)mmc(54,90):

Answer 1

Boa noite.

15, 25 | 3
5, 25 | 5
1, 5 | 5
1, 1 | 1

MMC = 3 . 5 . 5 = 75


16, 26 | 2
8, 13 | 2
4, 13 | 2
2, 13 | 2
1, 13 | 13
1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 13 = 208


18, 21 | 2
9, 21 | 3
3, 7 | 3
1, 7 | 7
1, 1 | 1

MMC = 2 . 3 . 3 . 7 = 126


42, 56 | 2
21, 28 | 2
21, 14 | 2
21, 7 | 3
7, 7 | 7
1, 1 | 1

MMC = 2 . 2 . 2 . 3 . 7 = 168


48, 60 | 2
24, 30 | 2
12, 15 | 2
6, 15 | 2
3, 15 | 3
1, 5 | 5
1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 3 . 5 = 240


54, 90 | 2
27, 45 | 3
9, 15 | 3
3, 5 | 3
1, 5 | 5
1, 1 | 1

MMC = 2 . 3 . 3 . 3 . 5 = 270


Bons estudos! ( ͡° ͜ʖ ͡°)