Question

find the LCM of 10,20,30​

Answer 1

60 is the LCM of 10,20,30

Answer 2

Answer:

The LCM of 10, 20, and 30​ is 60.

Step-by-step explanation:

Given: The numbers are 10, 20, and 30​.

We have to find the LCM of the above numbers.

We are solving in the following way:

We have,

The numbers are 10, 20, and 30​.

First, we will find the prime factors for each number

Prime Factorization of 10 is:

$2 \times 5 => 2^1 \times 5^1$

Prime Factorization of 20 is:

$2 \times 2 \times 5 => 2^2 \times 5^1$

Prime Factorization of 30 is:

$2 \times 3 \times 5 => 2^1 \times 3^1 \times 5^1$

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, 3, 5

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 3 \times 5 = 60$