Question

Caucule o mmc abaixo :
a) 98 144 72 =
b) 44 29 72 =
c) 28 96 126 =

Answer 1

Resposta:

a) 7056

b) 22968

c) 2016

Explicação:

a) 98, 144, 72 |2

49, 72, 36 |2

49, 36, 18 |2

49, 18, 9 |2

49, 9, 9 |3

49, 3, 3 |3

49, 1, 1 |7

7, 1, 1 |7_

1, 1, 1 |2×2×2×2×3×3×7×7 = 2⁴×3²×7²

|16×9×49 = 144×49 = 7056

b) 44, 29, 72 |2

22, 29, 36 |2

11, 29, 18 |2

11, 29, 9 |3

11, 29, 3 |3

11, 29, 1 |11

1, 29, 1 |29_

1, 1, 1 |2×2×2×3×3×11×29 =

|2³×3²×11×29 = 8×9×11×29 =

|72×11×29 = 792×29 = 22968

c) 28, 96, 126 |2

14, 48, 63 |2

7, 24, 63 |2

7, 12, 63 |2

7, 6, 63 |2

7, 3, 63 |3

7, 1, 21 |3

7, 1, 7 |7_

1, 1, 1 |2×2×2×2×2×3×3×7 = 2⁵×3²×7

|= 32×9×7 =

|288×7 = 2016

Answer 2

Explicação passo-a-passo:

98,144,72/2

49,72,36/2

49,36,18/2

49,18,9/2

49,9,9/3

49,3,3/3

49,1,1/7

7,1,1/7

1,1,1

Mmc=2⁴*3²*7²=>7056

44,29,72/2

22,29,36/2

11,29,18/2

11,29,9/3

11,29,3/3

11,29,1/11

1,29,1/29

1,1,1

Mmc=2³*3²*11*29=>22968

28,96,126/2

14,48,63/2

7,24,63/2

7,12,63/2

7,6,63/2

7,3,63/3

7,1,21/3

7,1,7/7

1,1,1

Mmc=2⁵*3²*7=>2016