Question

Considerando a= 2³ × 3², b=2² × 5 e c= 2×3³, calcule:

a)mmc (a, b)
b)mmc (a, c)
c)mmc (b, c)
d)mmc (a, b, c)

Answer 1

a= (2*2*2)*(3*3)= 8*9= 72
b= (2*2)*5= 4*5= 20
c= 2*(3*3*3)= 2*27= 54

Mmc (a,b)= 540
72, 20 | 4
18, 5 | 5
18, 1 | 3
9, 1 | 3
3, 1 | 3
1, 1,

Mmc (a, c)= 648
72, 54 | 6
12, 9 | 6
2, 9 | 3
2, 3 | 3
2, 1 | 2
1, 1

Mmc (b, c)= 540
20, 54 | 2
10, 27 | 2
5, 27 | 5
1, 27 | 3
1, 9 | 3
1, 3 | 3
1, 1

Mmc (a, b, c)= 1080
72, 20, 54 | 2
36, 10, 27 | 2
18, 5, 27 | 2
9, 5, 27 | 3
3, 5, 9 | 3
1, 5, 3 | 3
1, 5, 1 | 5
1, 1, 1