Question

Encontre o m. M. C entre: a) 25, 48, 156 b) 15, 18, 24 c) 135, 170 d) 98, 120 e) 12, 16, 20. *.

Answer 1

Resposta:

A - 15600

B - 360

C - 4590

D - 5880

E - 240

Explicação passo a passo:

A -

25, 48, 156 | 2

25, 24, 78 | 2

25, 12, 39 | 2

25, 6, 39 | 2

25, 3, 39 | 3

25, 1, 13 | 5

5, 1, 13 | 5

1, 1, 13 | 13

1, 1, 1

$2^{4} . 3 . 5^{2} . 13 = 15600$

B -

15, 18, 24 | 2

15, 9, 12 | 2

15, 9, 6 | 2

15, 9, 3 | 3

5, 3, 1 | 3

5, 1, 1 | 5

1, 1, 1

$2^{3} . 3^{2} . 5 = 360$

C -

135, 170 | 2

135, 85 | 5

17, 27 | 3

17, 9 | 3

17, 3 | 3

17, 1 | 17

1, 1

$2 . 5.3^{3} .17 = 4590$

D -

98, 120 | 2

49, 60 | 2

49, 30 | 2

49, 15 | 3

49, 5 | 5

49, 1 | 7

7, 1 | 7

1, 1

$2^{3} .3.5.7^{2} = 5880$

E -

12, 16, 20 | 2

6, 8, 10 | 2

3, 4, 5 | 2

3, 2, 5 | 2

3, 1, 5 | 3

1, 1, 5 | 5

1, 1, 1

$2^{4} . 3.5= 240$

Espero ter ajudado!

Bons estudos!