Question

alla el mínimo común múltiplo de cada grupo de
5 y 7
25 y 30
120 y 210
b. 11 y 13
d. 45 y 5
f. 300 y 350
​

Answer 1

Respuesta:

$5 = 1 \times 5 \\ 7 = 1 \times 7 \\ M.C.M(5,7) = 5 \times 7 = 35$

$25 = {5}^{2} \\ 30 = 2 \times 3 \times 5 \\ M.C.M.(25,30) = {5}^{2} \times 2 \times 3 = 25 \times 6 = 150$

$120 = {2}^{3}\times3 \times 5 \\ 210 = 2 \times 3 \times 5 \times 7 \\ M.C.M.(120, 210) = {2}^{3} \times 3 \times 5 \times 7 = 8 \times 3 \times 5 \times7 = 840$

$11 = 1 \times 11 \\ 13 = 1 \times 13 \\ M.C.M.(11, 13) = 11 \times 13 = 143$

$45 = {3}^{2} \times 5 \\ 5 = 1 \times 5 \\ M.C.M.(45,5) = 5 \times {3}^{2} = 5 \times 9 = 45$

$300 = {2}^{2} \times 3 \times {5}^{2} \\ 350 = 2 \times {5}^{2} \times 7 \\ M.C.M.(300,350 ) = {2}^{2} \times {5}^{2} \times 3 \times 7 = 4 \times 25 \times 3 \times 7 = 2100$