Question

Use prime factorization to find the LCM and the HCF of 210 and 112​

Answer 1

HCF = 14

LCM = 1680

Explanation:

Factorizing the given values

210 = 2 * 3 * 5 * 7

112 = 2 * 2 * 2 * 2 * 7

Since 2 * 7 is common to both factors

Hence the HCF = 2 * 7 = 14

For LCM, we we will multiply all the prime factors that are in both

LCM = 2* 2 * 2 * 2 * 3 * 5 * 7

LCM = 112 * 15

LCM = 1680

Hence the LCM is 1680