Question

lcm of 198,135,168 find the lcm
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Answer 1

Answer:

The lcm of 198, 135 and 168 is 83160

Answer 2

Answer:

The LCM of 198, 135, and 168 is$83160$.

Step-by-step explanation:

Given: The numbers are 198, 135, and 168.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are 198, 135, and 168.

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

Prime Factorization of 135 is:

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

Prime Factorization of 168 is:

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

Prime Factorization of 198 is:

$2 \times 3 \times 3 \times 11 => 2^1 \times 3^2 \times 11^1$

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

$2, 2, 2, 3, 3, 3, 5, 7, 11$

Multiplying these factors together to find the LCM.

$LCM = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 5 \times 7 \times 11 = 83160$

Note:

Q. Find the LCM of  198, 135, and 168.