Question

1)Calcule o MMC e o MDC dos seguintes números:

a) 20, 30 e 40

b) 15, 25 e 45

c) 9, 6 e 3

d) 120, 80 e 60

e) 180, 150 e 120

⚠️ cálculo ⚠️​

Answer 1

Resolução!

A ) ( 20 , 30 , 40 )

20 , 30 , 40 / 2_

10 , 15 , 20 / 2

5 15 , 10 / 2

5 , 15 , 5 / 3

5 , 5 , 5 / 5_

1 , 1 , 1

MDC => 2 × 5 = 10

MMC => 2×2×2×3×5 = 120

================================================

B ) ( 15 , 25 , 45 )

15 , 25 , 45 / 3

5 , 25 , 15 / 3

5 , 25 , 5 / 5_

1 , 5 , 1 / 5

1 , 1 , 1

MDC = 5

MMC => 3×3×5×5 = 225

==================================================

C ) ( 9 , 6 , 3 )

9 , 6 , 3 / 2

9 , 3 , 3 / 3_

3 , 1 , 1 / 3

1 , 1 , 1

MDC = 3

MMC => 2×3×3 = 18

==================================================

D ) ( 120 , 80 , 60 )

120 , 80 , 60 / 2_

60 , 40 , 30 / 2_

30 , 20 , 15 / 2

15 , 10 , 15 / 2

15 , 5 , 15 / 3

5 , 5 , 5 / 5_

1 , 1 , 1

MDC => 2×2×5 = 20

MMC => 2×2×2×2×3×5 = 240

================================================

E ) ( 180 , 150 , 120 )

180 , 150 , 120 / 2_

90 , 75 , 60 / 2

45 , 75 , 30 / 2

45 , 75 , 15 / 3_

15 , 25 , 5 / 3

5 , 25 , 5 / 5_

1 , 5 , 1 / 5

1 , 1 , 1

MDC => 2×3×5 = 30

MMC => 2×2×2×3×3×5×5 = 1800

》》》》》》《《《《《《

Answer 2

Explicação passo-a-passo:

a) 20 30 40 : 2 ●

10 15 20 : 2

5 15 10 : 2

5 15 5 : 3

5 5 5 : 5●

1, 1, 1 então: mmc=2³x3x5=8x3x5 =120 é mdc=2x5=10

b) 15 25 45 : 3

5 25 15 : 3

5 25 5 : 5●

1 5 1 : 5

1 1 1, então: mmc=3²x5x5=9x5x5=225 é mdc=5

c) 9 6 3 : 2

9 3 3 : 3●

3 1 1 : 3

1 1 1, então mmc=2x3²=2x9= 18 é mdc =3

d) 120 80 60 : 2●

60 40 30 : 2●

30 20 15 : 2

15 10 15 : 2

15 5 15 : 3

5 5 5 : 5

1, 1 1, então m.m.c =2⁴x3x5=16x3x5 =240

mdc=2x2x5=20

e) 180 150 120 : 2●

90 75 60 : 2

45 75 30 : 2

45 75 15 : 3●

15 25 5 : 3

5 25 5 : 5●

1 5 1 : 5

1 1 1, então mmc=2³x3²x5²=8x9x25=1.800

mdc=2x3x5=30