Question

Calcule o mínimo múltiplo comum dos números abaixo. a) mmc (7, 21) b) mmc (8, 36) c) mmc (9, 16) d) mmc (9, 15, 6) e) mmc (12,24,48)

Answer 1

Resposta e Explicação passo a passo:

a)mmc= 21

$7, 21|7\\1, 3 |3\\1, 1|7*3= 21$

b)mmc= 72

$8, 36|2\\4, 18|2\\2, 9|2\\1, 9|3\\1, 3|3\\1,1|2^{3} *3^{2} = 2*2*2=8;3*3=9, ou \ seja, 8*9=72$

c)mmc= 144

$9, 16|2\\9,8|2\\9,4|2\\9,2|2\\9,1|3\\3,1|3\\1,1|2^{4}*3^{2} =2*2*2*2= 16; 3*3=9, ou\ seja, 16*9= 144$

d)mmc= 90

$9,15,6|2\\9,15,3|3\\3,5,1|3\\1,5,1|5\\1,1,1|2*3^{2} *5=2*9*5=90$

e)mmc= 48

$12,24,48|2\\6,12,24|2\\3,6,12|2\\3,3,6|2\\3,3,3|3\\1,1,1|2^{4}*3=16*3=48$

Espero ter ajudado!