Question

using prime factorization method, find the HCF and LCM of 30, 72 and 432. Also show that HCF×LCM is not equal to the product of the three numbers.​

Answer 1

Explanation:

HCF of 30 = 2,3,5

HCF of 72 = 2,2,2,3,3

HCF of 432 = 2,2,2,2,3,3,3

now

LCM of 30 , 72, 432 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 = 2160

HCF of 30,72,432 = 2 x 3 = 6

HCF X LCM = 12960

Multiply of 3 num = 933120

hence proved