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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 11
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The HCF of two numbers is (72) and their LCM is (4680). If the numbers are taken as (72r) and (72s), what is the value of (rs)?

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Answer and explanation

Correct answer: (65)

Step 1: After taking out HCF (72), (r) and (s) are coprime. Step 2: LCM (=72rs=4680), so (rs=65). Step 3: First divide the LCM by the HCF.

Related tags

Real-NumbersHcf-LcmCoprime-Form

Frequently asked questions

What is the correct answer to this question?

(65)

Why is this the correct answer?

Step 1: After taking out HCF (72), (r) and (s) are coprime. Step 2: LCM (=72rs=4680), so (rs=65). Step 3: First divide the LCM by the HCF.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.

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