Question

usando o processo da decomposição simultânea em fatores primos determine o mínimo múltiplo comum dos números abaixo a 90 e 120 b 45 54 e 72 c 120 30 e 450 d 20 40 50 e 200

Answer 1

$a) 90,120|2$

$45,60|2$

$45,30|2$

$45,15|2$

$15,5|3$

$5,5|5$

$1,1$

$mmc(2.2.2.3.3.5)=360$

_________________________

$45,51,72|2$

$45,27,36|2$

$45,27,18|2$

$45,27,9|3$

$15,9,3|3$

$5,3,1|3$

$5,1,1|5$

$1,1,1$

$mmc(2.2.2.3.3.3.5)=1080$

___________________

$120,30,450|2$

$60,15,225|2$

$30,15,225|2$

$15,15,225|3$

$5,5,75|3$

$5,5,25|5$

$1,1,5|5$

$1,1,1$

$mmc(2.2.2.3.3.5.5)=1800$

________________________

$20,40,50,200|2$

$10,20,25,100|2$

$5,10,25,50|2$

$5,5,25,25|5$

$1,1,5,5|5$

$1,1,1,1$

$mmc(2.2.2.5.5)=200$