Find The LCM And HCF of 8 9 And 25 By Prime Factorization

In this problem we will find the LCM and HCF of 8 9 and 25 by doing the factors of the given numbers.

We will use the following concepts:
HCF = a number that divide all numbers.
LCM = A common number that could be completely divisible by all three given numbers.

Find The LCM And HCF of 8 9 And 25

So, first of all we will do the factors of these given numbers 8, 9, and 25

By seeing the numbers we can identify that all these are common numbers.

Find The LCM And HCF of 8 9 And 25 By Prime Factorization — Factors of 8, 9, & 25

Hence the factors of 8 are as follow:
8 = 2X2X2

Hence the factors of 9 are as follow:
9 = 3X3

Hence the factors of 25 are as follow:
25 = 5X5

Let’s see all together
8 = 2X2X2
9 = 3X3
25 = 5X5

Here we can see common factor is only 1 because all numbers can be divide by 1.

So, the HCF or Highest Common Factor = 1

LCM of 8, 9, and 25

LCM = 2X2X2X3X3X5X5
LCM = 1800

Here we find the all prime number has common HCF 1.

Now we will verify the relationship for calculating that our answer is correct on not.

SO, for verifying our we will use standard relationship

Multiplication of numbers = LCM x HCF

In this question, we have 3 numbers 8, 9, & 25.

Let’s see the product of multiplication
= 8 x 9 x 25
= 1800

Now let’s see the product of multiplication of LCM and HCF
= LCM x HCF
= 1800 x 1
= 1800

Here we can see that this question satisfied the standard relationship

Multiplications of numbers = multiplications of HCF and LCM

Find The LCM And HCF of 8 9 And 25 By Factorization Method

Let’s take this example from the classroom whiteboard.

So, you have seen here how we find the LCM and HCF of 8 9 and 25 by prime factorization method. Also, we show you how to find the LCM by factorizing all numbers together. I hope you like this answer. If anything else, just give us a comment for related query. We will be happy to help you out.

Also, Read:

Difference Between LCM and HCF of 20, 30, and 40.