Question

The L.C.M. of 8,12 and 15 is​

Answer 1

Answer:

The LCM of 8,12 and 15 is 120 is the answer.

Answer 2

Answer:

=> 120

Step-by-step explanation:

As per the given data, we have to find the LCM of the given numbers.

Given data:-

$8$, $12$ and 15

To find:- The LCM of the given numbers.

For that first, we have to find the prime factors of the given numbers,

The prime factor for $8$ is 2, 2 and 2.

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

The prime factors for $15$ is $3$ and 5.

The prime factors 3 and 5 appear only once, while 2 appears multiple times.

As we know that, the product of all factors with the greatest number of occurrences is the least common multiple.

LCM = $2\times 2\times 2\times 3\times 5$

LCM = $2^3\times 3\times 5$

LCM = $120$

Hence, The least common multiple of $8$, $12$ and 15 is $120$.