Question

LCM.
. Find the LCM of 36, 56, 105 and 108.​

Answer 1

Step-by-step explanation:

7560 is the answer.......................

Answer 2

Answer:

The LCM of 36, 56, 105, and 108 is 7560.

Step-by-step explanation:

Given: The numbers are 36, 56, 105, and 108.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are 36, 56, 105, and 108.

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

Prime Factorization of 36 is:

$2 \times 2 \times 3 \times 3 => 2^2 \times3^2$

Prime Factorization of 56 is:

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

Prime Factorization of 105 is:

$3 \times 5 \times7 => 3^1 \times 5^1\times 7^1$

Prime Factorization of 108 is:

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

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, 3, 3, 5, 7

Multiplying these factors together to find the LCM.

$LCM = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 5 \times 7 = 7560$