Question

Find the lcm and hcf of 6 and 12. Find the product of the numbers. Also find the product of lcm and hcf. What do you notice from the results obtained

Answer 1

Answer:

The result abtained is that, the product of 6 and 12 is equal to the product of their HCF and LCM.

Step-by-step explanation:

HCF of 6 and 12 is 6.

LCM of 6 and 12 is 12.

Product of 6 and 12 is 72.

Product of their HCF and LCM is 6×12=72.

So, the result obtained from doing the product of 6 and 12 is equal to the product of their HCF and LCM.

I hope this will help you.

Answer 2

Answer:

We conclude that Product of numbers = LCM*HCF

Step-by-step explanation:

It is given that the numbers are $6$ and $12$.

LCM is least common multiple. The least common multiple of two numbers is the smallest number that is a multiple of both of them.

HCF/Highest Common Factor is the greatest number which divides each of the two or more numbers.

Factor of $6=2*3$

and factor of $12=2*2*3$

So, LCM $=2*2*3$

$=12$

HCF $=2*3$

$=6$

Now, product of numbers is $12*6=72$

This is also LCM*HCF=$12*6=72$

So, we conclude that Product of numbers = LCM*HCF

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