Question

find the LCM of 12,15,45​

Answer 1

Answer:

L C M =

Step-by-step explanation:

3×2×2×5×3=180....

Answer 2

Answer:

The lcm of  12, 15, and 45​ is 180.

Step-by-step explanation:

Given: The numbers are 12, 15, and 45​.

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 12, 15, and 45​.

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

Prime Factorization of 12 is:

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

Prime Factorization of 15 is:

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

Prime Factorization of 45 is:

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

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, 3, 5

Multiplying these factors together to find the LCM:

$LCM = 2 \times 2 \times 3 \times 3 \times 5 = 180$

Therefore,

LCM(12, 15, 45) = 180