Question

find the LCM of - 14,42,38 ​

Answer 1

Answer:

The lcm of 14, 42, and 38 is 798.

Step-by-step explanation:

Given: The numbers are 14, 42, and 38.

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 14, 42, and 38.

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

Prime Factorization of 14 is:

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

Prime Factorization of 38 is:

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

Prime Factorization of 42 is:

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

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, 3, 7, 19

Multiplying these factors together to find the LCM.

$LCM = 2 \times 3 \times 7 \times 19 = 798$

Therefore,

LCM(14, 38, 42) = 798