Question

halla el MCM por descomposición en factores primos. A MCM (12,20,120) B. MCM (15,20,45) C. MCM (4,27,54) D. MCM (10,20)​

Answer 1

Respuesta:

A. MCM (12,20,120) = El MCM(12,20,120), es 120

2, 20, 120 | 2

6, 10, 60 | 2

3, 5, 30 | 2

3, 5, 15 | 3

1, 5, 5 | 5

1, 1, 1 | 1

MCM = 2 . 2 . 2 . 3 . 5 = 120

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B. MCM (15,20,45) = El MCM(15,20,45), es 180

15, 20, 45 | 2

15, 10, 45 | 2

15, 5, 45 | 3

5, 5, 15 | 3

5, 5, 5 | 5

1, 1, 1 | 1

MCM = 2 . 2 . 3 . 3 . 5 = 180

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C. MCM (4,27,54) = El MCM(4,27,54), es 108

4, 27, 54 | 2

2, 27, 27 | 2

1, 27, 27 | 3

1, 9, 9 | 3

1, 3, 3 | 3

1, 1, 1 | 1

MCM = 2 . 2 . 3 . 3 . 3 = 108

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D. MCM (10,20)​ = El MCM(10,20), es 20

10, 20 | 2

5, 10 | 2

5, 5 | 5

1, 1 | 1

MCM = 2 . 2 . 5 = 20

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