Find The LCM And HCF of 96 and 404 By Prime Factorization Method **HCF and lcm of 96 and 404 and verifyHCF of 96 and 404 is 4 and their lcm is**:

**Find the HCF**of 96 and 404

**class 10**

In this problem, we will Find The LCM And HCF of 96 and 404 By Prime Factorization Method by doing the factors of the given numbers.

We will use the following concepts:

HCF = The highest factor that divides all numbers.

LCM = The lowest number that could be completely divisible by all two given numbers.

## Find The LCM And HCF of 96 and 404

So, first of all, we will do the factors of these given numbers 96, and 404

By seeing the numbers we can identify that all these are general numbers. We will factorize them into prime numbers.

Hence the factors of 96 are as follow:

96 = 2X2X2X2X2X3

Hence the factors of 404 are as follow:

404 = 2X2X101

Let’s see the prime factors of 96 and 404 altogether

96 = 2X2X2X2X2X3

404 = 2X2X101

Here we can see the highest common factor is 2X2.

So, the HCF of 96 and 404 is 4.

**So, the HCF or Highest Common Factor of 96, 404 is 4.**

LCM of 26 and 91 is as follow:

LCM = 2X2X2X2X2X3X101

LCM = 9696.

**LCM or Highest Common Factor of 96 and 404 is 9696.**

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

So, for verifying our answer we will use the standard relationship

**Multiplication of numbers = LCM x HCF**

In this question, we have 2 numbers 96 & 404.

**Let’s see the product of multiplication**

= 96X404

= 38784

Now let’s see the product of multiplication of LCM and HCF

= LCM x HCF

= 9696 X 4

= 38784

Here we can see that this question satisfied the standard relationship

**Multiplications of numbers = multiplications of HCF and LCM**

So, the LCM numbers 96 and 404 are 9696, and the HCF of numbers 96 & 404 is 4.

### Find The LCM And HCF of 96 and 404 By Prime Factorization

Let’s take this example from the classroom whiteboard notes.

**HCF and lcm of 96 and 404 and verify**

From the above solution, we find

the highest common factor of 96 and 404 is 4.

And the Least Common Multiple of 96 and 404 is 9696.

Now we will verify this relation from the standard formula.

LCM x HCF = Multiplication of Both Numbers

9696 x 4 = 96 x 404

38784 = 38784

Here we find

LHS = RHS

Hence we have verified the relationship.

**HCF of 96 and 404 is 4 and their lcm is**

Now we have this HCF of 96 and 404 is 4 and their LCM is?

So from the standard relationship, we know that **LCM * HCF = Multiplication of Numbers**

LCM * 4 = 96 * 404

LCM = (96 * 101)

LCM = 9696

Hence if HCF of 96 and 404 is 4 then their LCM is 9696.

Also, Read:

LCM and HCF of 26 and 91 by Prime Factorization Method.

LCM and HCF of 12, 15, and 21 by Prime factorization Method.

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