Question

Find the L.C.M of $112,140$ and $168$ using the common division method.

Answer 1

Finding L.C.M using common division method.

Steps to follow while using the common division method.

$1$. We arrange the given numbers in a row separated by commas.

$2$. Now we will think of numbers starting from the smallest prime number i.e., $2$ and see if it can divide exactly at least two of the given numbers.

$3$. Divide the numbers which are divisible by the chosen number and write the quotients just below them. Carry forward the numbers which are not divisible.

$4$. Repeat step $2$ and $3$ till no two of the given numbers are divisible by the same number.

$5$. Now multiply the divisors and the undivided numbers to get the required L.C.M of the given number.

Using the above mentioned steps, we will find the L.C.M of $112,140$ and $168$

We get,

L.C.M of $112,140$ and $168$$=2\times 2\times 2\times 2\times 3\times 5\times 7$

$=1680$

Thus, L.C.M of $112,140$ and $168$$=1680$