Question

Ayúdenme a sacar el mcm de 48 72*120

Answer 1

Un buen método para números grandes es factorizando:

48 = 2⁴ × 3 = 2³ × 3 × 2

72 = 2³ × 3² = 2³ × 3 × 3

120 = 2³ × 3 × 5

Ahora sacamos el MCM de los factores distintos entre si:

2 = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 ...}

3 = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30 ...}

5 = {5, 10, 15, 20, 25, 30 ...}

MCMf = 30

Ahora multiplicamos el MCM de los factores con los factores comunes:

[2³ × 3] × 30 = 720

MCM = 720