Question

find the LCM 21,28,36​

Answer 1

Answer:

252

Step-by-step explanation:

3*2*2*7*3= 252

Hope it will help you

Answer 2

Answer:

The lcm of 21, 28, and 36​ is 252.

Step-by-step explanation:

Given: The numbers are 21, 28, and 36​.

We have to find the lcm of the above numbers.

• As we know, the lcm is the least number, which is exactly divisible by two or more numbers.

We are solving in the following way:

We have,

The numbers are 21, 28, and 36​.

First, we will find all prime factors for each number.

Prime Factorization of 21 is:

$3 \times 7 => 3^1 \times 7^1$

Prime Factorization of 28 is:

$2 \times 2 \times 7 => 2^2 \times 7^1$

Prime Factorization of 36 is:

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

For each prime factor, we will find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is:

2, 2, 3, 3, 7

Multiply these factors together to find the LCM.

$LCM = 2 \times 2 \times 3 \times 3 \times 7 = 252$

Therefore,

LCM(21, 28, 36) = 252