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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.
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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.
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