Question

LCM of 96,144,192 short division method

Answer 1

Given:

Given numbers are $96$, $144$, $192$

To find:

LCM of  $96$, $144$, $192$ by short division method

Solution:

In short division method, write given numbers in horizontal line and divide all numbers by their common factors.

              $96$, $144$, $192$

        $2$    $48$, $72$, $96$

        $2$    $24$, $36$, $48$

        $2$    $12$, $18$, $24$

        $2$    $6$, $9$,  $12$

        $2$    $3$, $9$,  $6$

        $2$    $3$, $9$,  $3$

        $3$    $1$, $3$, $1$

        $3$    $1$, $1$, $1$

LCM of  $96$, $144$, $192$ $=2 \times2 \times2 \times2 \times2 \times2 \times3 \times3=576$

Hence, LCM of  $96$, $144$, $192$ is $576$.