Question

halla el mcm de los numeros propuestos utilizando el metodo de la descomposicion en factores primos
a:48y72
b:54y75
c:100y240

Answer 1

$48 = {2}^{4} \times 3 \\ 72 = {2}^{3} \times {3}^{2} \\ M.C.M.(4 8,72) = {2}^{4} \times {3}^{2} = 16 \times 9 = 144$

$54 = 2 \times {3}^{3} \\ 75 = 3 \times {5}^{2} \\ M.C.M.(54,75) = 2 \times {3}^{3} \times {5}^{2} = 2 \times 27 \times 25 = 1350$

$100 = {2}^{2} \times {5}^{2} \\ 240 = {2}^{4} \times 3 \times 5 \\ M.C.M.(100,240) = {2}^{4} \times 3 \times {5}^{2} = 16 \times 3 \times 25 = 1200$