Question

Find the LCM of 56,84,62​

Answer 1

The LCM of 56, 84, 62 = 5208

Answer 2

Answer:

The lcm of 56, 84, and 62​ is 5208.

Step-by-step explanation:

Given: The numbers are 56, 84, and 62​.

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 56, 84, and 62​.

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

Prime Factorization of 56 is:

$2 \times 2 \times 2 \times 7 => 2^3 \times 7^1$

Prime Factorization of 62 is:

$2 \times 31 => 2^1 \times 31^1$

Prime Factorization of 84 is:

$2 \times 2 \times 3 \times 7 => 2^2 \times 3^1 \times 7^1$

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, 2, 3, 7, 31

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 2 \times 3 \times 7 \times 31 = 5208$

Therefore,

LCM(56, 62, 84) = 5208