Question

dind the HCF and LCM of 120 and 96 and verify HCF into LCM equals to product of given numbers.​

Answer 1

Step-by-step explanation:

To find the HCF and LCM of the two numbers, we need to find their factors first

Factors of 120=2x2x2x3x5

Factors of 96=2x2x2x2x2x3

Then, we will separate out the common factors...That will be their HCF

HCF=2x2x2x3=24

Ten, we will multiply the HCF with the uncommon factors...That will be their LCM

LCM=24x5x2x2=480

HCF x LCM= Product of the two numbers

480 x 24= 120 x 96

11520 = 11520

Hence, proved.