Question

Calcule por meio da decomposição de fatores primos a)m.m.c.(10.12.45)
B)m.m.c.(135.105.90)

Answer 1

MMC
10,12,45   2
5,6,45       2
5,3,45       3
5,1,15       3
5,1,5         5
1,1,1         180

MMC
135,105,90   2
135,105,45   3
45,35,15       3
15,35,5         3
5,35,5           5
1,7,1             7
1,1,1             1890

Answer 2

(A) 10,12,45

10,12,45 | 2
5, 6,45 | 2
5, 3, 45| 3
5, 1 , 15 | 3
5, 1 , 5 | 5
1, 1, 1.

2 × 2 × 3 × 3 × 5 = 12 × 3 × 15 = 540

(B) 135,105,90

90,105,135. ║2
45 ,105,135 ║3
15 , 35 , 45. ║3
5, 35, 15. ║3
5, 35 , 5. ║5
1 , 7 , 1 ║7
1 , 1 , 1

2 × 3 × 3 ×3 × 5 × 7 = 18 × 3 × 5 × 7 = 54 × 5 × 7 = 270 × 7 = 1,890