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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 10
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If the HCF of two numbers is (40) and their LCM is (1680), and the numbers are taken as (40r) and (40s), what is the value of (rs)?

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Answer and explanation

Correct answer: (42)

Step 1: After factoring out HCF (40), (r) and (s) are coprime. Step 2: LCM (=40rs=1680), so (rs=42). Step 3: Factor out the HCF to make the question shorter.

Related tags

Real-NumbersHcf-LcmCoprime-Form

Frequently asked questions

What is the correct answer to this question?

(42)

Why is this the correct answer?

Step 1: After factoring out HCF (40), (r) and (s) are coprime. Step 2: LCM (=40rs=1680), so (rs=42). Step 3: Factor out the HCF to make the question shorter.

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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