Question

6. Observe a sequência dos múltiplos de 16,
18, 24 e 27.
M(16) = 0,16, 32, 48, 64, 80, 96, 112, 128
144,...
M(18) = 0,18,36,54,72, 90, 108, 126, 144,
162, ...
M(24) = 0,24, 48,72,96, 120, 144,168,
192, 216, ...
M(27) = 0,27,54, 81, 108, 135, 162, 189,
216, 243, ...
Determine:
a) mmc(16,24)
b) mmc(18,27
c)mmc(18,24
d) mmc(24, 27​

Answer 1

Resposta:

a) 48 b) 54 c) 72 d) 216

Desenvolvimento:

a) mmc (16,24)

16, 24 | 2

 8, 12 | 2

 4, 6  | 2

 2, 3  | 2

 1,  3  | 3

 1,  1

2 x 2 x 2 x 2 x 3 = 48

b) mmc (18,27)

18, 27 | 2

9, 27 | 3

3,  9  | 3

1,  3   | 3

1,  1

2 x 3 x 3 x 3 = 54

c) mmc (18,24)

18, 24 | 2

9, 12  | 2

9, 6   | 2

9, 3   | 3

3, 1    | 3

1,  1

2 x 2 x 2 x 3 x 3 = 72

d) mmc (24, 27)​

24, 27 | 2

12, 27  | 2

6, 27  | 2

3, 27  | 3

 1, 9    | 3

 1, 3    | 3

 1, 1

2 x 2 x 2 x 3 x 3 x 3 = 216