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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 13
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If the HCF of two numbers is (18) and their LCM is (990), and the numbers are (18r) and (18s), what is the value of (rs)?

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Answer and explanation

Correct answer: (55)

Step 1: After taking out HCF (18), (r) and (s) are coprime. Step 2: LCM (=18rs=990), so (rs=55). Step 3: Divide by the HCF to simplify such questions.

Related tags

Real-NumbersHcf-LcmCoprime-Form

Frequently asked questions

What is the correct answer to this question?

(55)

Why is this the correct answer?

Step 1: After taking out HCF (18), (r) and (s) are coprime. Step 2: LCM (=18rs=990), so (rs=55). Step 3: Divide by the HCF to simplify such questions.

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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