HCF of two numbers 'a' and 'b' is 5 and their LCM is 200. Find the product of 'a' and 'b'

The largest possible number which divides the given numbers exactly without leaving any remainder is called their HCF (Highest Common Factor).

Answer: If the HCF of two numbers 'a' and 'b' is 5 and their LCM is 200, then the product of 'a' and 'b' is 1000.

The Least Common Multiple (LCM) of two numbers a and b is the smallest number which is divisible by a and b exactly.

Explanation:

The formula that shows the relation between LCM and HCF of a and b is: LCM (a,b) = (a × b) / HCF (a,b)

HCF (a, b) = 5, and LCM (a, b) = 200

LCM (a, b) = (a × b) / HCF (a,b)

200 = (a × b) / 5

a × b = 200 × 5

a × b = 1000

Therefore, the product of 'a' and 'b' is 1000.