# The HCF of Two Numbers a and b is 5 and their LCM is 200. Find the Product ab.

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The product of two numbers a and b with HCF 5 and LCM 200 is 1000. The relationship between HCF and LCF is signified by the equation – LCM (a,b) = (a × b)/HCF (a,b). Using this equation, the product ab will be calculated in the manner provided below.

## HCF of a and b is 5 and LCM is 200. What is Product ab?

We already know that the HCF of two numbers a and b is 5 and their LCM is 200. To find their product we will use the following equation –

LCM (a,b) = (a × b)/HCF (a,b)

HCF (a, b) = 5

LCM (a, b) = 200

Putting these values in the equation, we will get –

200 = (a × b)/5

a × b = 200 × 5

a × b = 1000

Hence, the product of ab is 1000.

Summary:

## The HCF of Two Numbers a and b is 5 and their LCM is 200. Find the Product ab.

1000 is the product of ab if two numbers a and b have 5 HCF and 300 LCM. To solve such questions, it is important to consider the relationship between HCF and LCM and solve the question accordingly.

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