Question

Lcm of 3, 2 , 6, 12
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Answer 1

Here it is given that we have to find the LCM of the given numbers,

$3, 2 , 6, 12$

First, we need to find the prime factors for the given numbers,

As $3$ and $2$ are the prime number,

The prime factor of $6$ is $2$ and $3$.

The prime factor of $12$ is $2$, $2$ and $3.$

The prime factor $3$ appears only once, whereas $2$ appears multiple times.

The product of all factors with the greatest number of occurrences is the least common multiple.

=> LCM = $2\times 2\times 3$

=> LCM = $2^2\times 3$

=> LCM = $12$

Hence, the LCM for $3$, $2$, $6$, $12$ is $12$.

Answer 2

Given,

$3,2,6,12$

We have to find the LCM of given numbers

We have to following this steps

List the multiples of each number until at least one of the multiples appears on all lists.

Find the smallest number that is on all of the lists.

This number is the LCM.

First we have to written prime factors of each number

$3$ is prime number

$2$ is prime number

The prime factors of $6$ is $2$ and $3$

The prime factors of $12$ is $3,2$ and $2$.

LCM of $3,2,6,12$ $= 2\times2\times3$

$=12$

Therefore, LCM of $3,2,6,12$ is $12$.