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denpristay [2]
2 years ago
7

10, 18 y 36 hallar el m.c.m por descomposición simultanea:

Mathematics
1 answer:
Taya2010 [7]2 years ago
5 0

Considerando la definición de mínimo común múltiplo, el mínimo común múltiplo entre 10, 18 y 36 es 180.

<h3>Mínimo común múltiplo</h3>

Un número es múltiplo de otro cuando lo contiene n veces de forma exacta. Es decir, los múltiplos de un número son aquellos que obtienes cuando multiplicas un número por otros.

El mínimo común múltiplo (mcm) es la cifra más pequeña que satisface la condición de ser múltiplo de todos los elementos de un conjunto de números. En otras palabras, el mínimo común múltiplo (mcm) es el número positivo más pequeño que es múltiplo de dos o más números.

Una forma de calcular el mcm es descomponiendo los números en sus divisores (número que está contenido en otro de forma exacta una cantidad n de veces) y que estos sean números primos (que solo pueden dividirse entre ellos mismos y el 1 para obtener un número entero). Es decir, se debe descomponer en factores primos cada número.

Luego, se debe seleccionar los factores primos comunes y no comunes con mayor exponente para finalmente multiplicar los factores primos seleccionados.

<h3>M.C.M en este caso</h3>

En primer lugar, se descomponen los números:

  • 10= 2×5
  • 18=2×3×3= 2×3²
  • 36=2×2×3×3= 2²×3²

Los factores primos comunes y no comunes con mayor exponente:

  • 2²
  • 3²
  • 5

Entonces, el mínimo común múltiplo entre 10, 18 y 36 es calculada como:

M.C.M(10,18,36)= 2²×3²×5= 2×2×3×3×5= 180

Finalmente, el mínimo común múltiplo entre 10, 18 y 36 es 180.

Aprende más sobre el mínimo común múltiplo:

brainly.com/question/21281409

#SPJ1

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