Question

lcm of 144,192,126 find the lcm​

Answer 1

Answer:

it is prime number so itself is lcm

Step-by-step explanation:

plz mark me as brainliest

Answer 2

Answer:

The LCM of 144, 192, and 126 is 4032.

Step-by-step explanation:

Given: The numbers are 144, 192, and 126.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are 144, 192, and 126.

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

Prime Factorization of 126 is:

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

Prime Factorization of 144 is:

$2 \times 2 \times 2 \times 2 \times 3 \times 3 => 2^4 \times 3^2$

Prime Factorization of 192 is:

$2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 => 2^6 \times 3^1$

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, 2, 2, 2, 3, 3, 7

Multiplying these factors together to find the LCM.

$LCM = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 7 = 4032$

NOTE:

Q. Find the LCM of  144, 192, and 126.