Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM

Solution:

We will use the prime factorisation method to find the HCF of 96 and 404. We will use the formula LCM(x, y) HCF(x, y) = x × y

⇒ 96 = 2 × 2 × 2 × 2 × 2 × 3 404 = 2 × 2 × 101

Thus, the HCF (96, 404) is 2 × 2 = 4.

As we know that the product of any two integers is equal to the product of their HCF and LCM.

HCF × LCM = Product of the two numbers

4 × LCM = 96 × 404

LCM = 38,784 / 4

LCM = 9696

☛ Check: NCERT Solutions for Class 10 Maths Chapter 1

Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM

Summary:

The HCF of 96 and 404 by the prime factorisation method is 4 and their LCM is 9696

☛ Related Questions:

• Consider the numbers 4n, where n is a natural number. Check whether there is any value of n for which 4n ends with the digit zero
• Find the LCM and HCF of 6 and 20 by the prime factorisation method
• Find the HCF and LCM of 6, 72 and 120 using the prime factorisation method