Find HCF of 96 and 404 by prime factorization method hence find their

1.	Find HCF of 96 and 404 by prime factorization method hence find their LCM with full procedure
Answer» pls thank and 5 star Step-by-step EXPLANATION: Represent 96 and 404 as a product of its prime factors. Prime factorization of 96 is 2 × 2 × 2 × 2 × 2 × 3 Prime factorization of 404 is 2 × 2 × 101 HCF is the product of the factors that are common to each of the given numbers. Since, the common factors are 2 and 2, the HCF of 96 and 404 is 4 We will use the formula to calculate the LCM (a, b): LCM (a, b) = (a × b) / HCF (a, b) HCF (a, b) is the highest common factor of a and b. Using the formula, LCM (96, 404) = (96 × 404) / HCF (96, 404) By SUBSTITUTING the VALUES, = (96 × 404) / 4 = 96 × 101 = 9696 Therefore, the HCF of 96 and 404 is 4, and the LCM of 96 and 404 is 9696

Find HCF of 96 and 404 by prime factorization method hence find their LCM with full procedure

Answer»

pls thank and 5 star

Step-by-step EXPLANATION:

Represent 96 and 404 as a product of its prime factors.

Prime factorization of 96 is 2 × 2 × 2 × 2 × 2 × 3

Prime factorization of 404 is 2 × 2 × 101

HCF is the product of the factors that are common to each of the given numbers.

Since, the common factors are 2 and 2, the HCF of 96 and 404 is 4

We will use the formula to calculate the LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Using the formula,

LCM (96, 404) = (96 × 404) / HCF (96, 404)

= (96 × 404) / 4

= 96 × 101

= 9696

Therefore, the HCF of 96 and 404 is 4, and the LCM of 96 and 404 is 9696