Question

find LCM of 38,46,52​

Answer 1

Answer:

2*19*23*26

= 22724

Answer 2

Answer:

The lcm of 38, 46, and 52 is 22,724.

Step-by-step explanation:

Given: The numbers are 38, 46, and 52​.

We have to find the lcm of the above numbers.

• As we know that lcm is the smallest common multiple of two or more numbers.

We are solving in the following way:

We have,

The numbers are 38, 46, and 52​.

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

Prime Factorization of 38 is:

$2 \times 19 => 2^1 \times 19^1$

Prime Factorization of 46 is:

$2 \times 23 => 2^1 \times 23^1$

Prime Factorization of 52 is:

$2 \times2 \times 13 => 2^2 \times 13^1$

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, 13, 19, 23

Multiply these factors together to find the LCM:

$LCM = 2 \times 2 \times 13 \times 19 \times 23 = 22724$

Therefore,

LCM(38, 46, 52) = 22,724