Question

1. Verify the relationship (Product of two numbers = HCF LCM) for the following pairs of
numbers:
(a) 15 and 18 (b) 24 and 30
(c) 72 and 84
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Answer 1

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First we need to find the highest common factor (H.C.F.) of 15 and 18 which is 3.

Then we need to find the lowest common multiple (L.C.M.) of 15 and 18 which is 90.

H.C.F. × L.C.M. = 3 × 90 = 270

Also the product of numbers = 15 × 18 = 270

Therefore, product of H.C.F. and L.C.M. of 15 and 18 = product of 15 and 18.

Answer 2

Answer:

apply the formula

product of numbers =product of hcf and lcm of two numbers