hamburger

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) 

Now, we already know that, 

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.

Related Questions:

SSC & Railway

Our Apps Playstore
POPULAR EXAMS
SSC and Bank
Other Exams
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com
Home Practice Test Series Premium