Question

Observe a sequência dos 10 primeiros múltiplos de 16, de 18 e de 24.

Múltiplos de 16; 0, 16,32,48,64,80,96,112,128,144
Múltiplos de 18; 0,18,36,54,72,90,108,126,144,162
Multiplos de 24; 0,24,48,72,96,120,144,168,192,216: agora determine:
A)mmc(16,18) C)mmc(18,24)
B)mmc(16,24) D)mmc(16,18,24.)

Answer 1

Resposta:

Explicação passo a passo:

A)mmc (16,18) = 144

16,18: 2

8, 9: 2

4, 9: 2

2, 9: 2

1, 9: 3

1, 3: 3

1, 1

= 2^4 . 3^2

= 16.9

= 144

______________

C)mmc(18,24)= 72

18,24: 2

9, 12: 2

9, 6: 2

9, 3: 3

3, 1: 3

1, 1

= 2^3 . 3^2

= 8.9

= 72

________________

B)mmc(16,24) = 48

16,24: 2

8, 12: 2

4, 6: 2

2, 3: 2

1, 3: 3

1, 1

= 2^4 . 3

= 16.3

= 48

______________

D)mmc(16,18,24)

16,18, 24: 2

8, 9, 12: 2

4, 9, 6: 2

2, 9, 3: 2

1, 9, 3: 3

1, 3, 1: 3

1, 1, 1

= 2^4 . 3^2

= 16.9

= 144