Question

find the lcm of 21,28,36​

Answer 1

Answer:

LCM= 7×2×2×3×3=252

Step-by-step explanation:

• 21=7×3
• 28=7×2×2
• 36=2×2×3×3

therefore lcm = product of the factors to the maximum power involved

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, LCM denotes the least common factor or multiple of any two or more given integers.  

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 list is:

2, 2, 3, 3, 7

Multiplying these factors together to find the LCM:

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

Therefore,

LCM(21, 28, 36) = 252