Question

LCM of 28,36,45,69

LCM ​

Answer 1

Answer:

1269

Step-by-step explanation:

then you add 1260 +9 _1269

Answer 2

In this problem, we are assuming that we have to find the LCM of the given numbers.

Q. Find the LCM of$28,36,45,69$.

Given: The numbers are$28,36,45,69$.

We have to find the lCM of the above numbers.

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

Prime Factorization of 28 is:

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

Prime Factorization of 36 is:

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

Prime Factorization of 45 is:

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

Prime Factorization of 69 is:

$3 \times 23 => 3^1 \times 23^1$

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

$2, 2, 3, 3, 5, 7, 23$

Multiplying these factors together to find the LCM.

LCM = $2 \times 2 \times 3 \times 3 \times 5 \times 7 \times 23 = 28980$

Hence the LCM of the given numbers is$28980$.