Question

Find the HCF and LCM of 48, 72 and 120 and hence verify that HCF x LCM ≠ Product of the numbers.

Answer 1

Answer:

HCF = 24

LCM = 720

Step-by-step explanation:

Factors of 48 = 3 * 2^4

Factors of 72 =  3^2 * 2^3

Factors of 120 =  3 * 2^3 * 5

HCF = 2^3 * 3 = 24

LCM = 2^4 * 3^2 * 5 = 720

Now, HCF*LCM = 24 * 720 = 17280.

Now, Product of 3 numbers = 414720

But, these are not equal, i.e. Product of 3 numbers ≠ HCF*LCM

Hence, verified.