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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 11
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The HCF of two numbers is (6), and the numbers are (6r), (6s). If (r=7) and (s=8), what is their LCM?

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Answer and explanation

Correct answer: (336)

Step 1: When (r) and (s) are coprime, LCM is (6rs). Step 2: (7) and (8) are coprime, so LCM (=6\times7\times8=336). Step 3: Factor out the HCF and check the remaining numbers.

Related tags

Real-NumbersHcf-LcmCoprime-Form

Frequently asked questions

What is the correct answer to this question?

(336)

Why is this the correct answer?

Step 1: When (r) and (s) are coprime, LCM is (6rs). Step 2: (7) and (8) are coprime, so LCM (=6\times7\times8=336). Step 3: Factor out the HCF and check the remaining numbers.

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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