Question

Vote:Solve in separate sheets by writing the questions) 1) The product of the numbers is equal to the product of their HCF and LCM. Verify the statement by taking the

numbers: a) 6 and 8 b) 14 and 18​

Answer 1

Answer:

The statement is true for both the pairs of numbers.

Step by Step Explanation

Let's verify this by using the given numbers.

a) 6 and 8:

The product of 6 and 8 = 48

HCF of 6 and 8:

6 = 2×3

8 = 2×2×2

HCF = 2

LCM of 6 and 8= 2×3×4= 24

Product of 6 and 8 = 48

Product of the HCF (2) and LCM (24) of 6 and 8 = 48

This shows that the statement is applicable for the first pair of numbers.

b) 14 and 18

The product of 14 and 18 = 252

HCF of 14 and 18:

14 = 2×7

18 = 2×3×3

HCF = 2

LCM of 14 and 18 = 2×3×7×3 = 126

Product of 14 and 18 = 252

Product of the HCF (2) and LCM (126) of 14 and 18 = 252

This shows that the statement is applicable for the second pair of numbers as well.

Hope this helps

- Jui Kirloskar