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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 10
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If (a=2^5\times3^3\times7) and (b=2^2\times3^5\times5\times7^2), what is the value of (\frac{\text{LCM}}{\text{HCF}})?

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Answer and explanation

Correct answer: (2^3\times3^2\times5\times7)

Step 1: HCF is (2^2\times3^3\times7), and LCM is (2^5\times3^5\times5\times7^2). Step 2: On division, subtract powers to get (2^3\times3^2\times5\times7). Step 3: Exponent subtraction is very useful in ratio questions.

Related tags

Real-NumbersHcfLcmRatio

Frequently asked questions

What is the correct answer to this question?

(2^3\times3^2\times5\times7)

Why is this the correct answer?

Step 1: HCF is (2^2\times3^3\times7), and LCM is (2^5\times3^5\times5\times7^2). Step 2: On division, subtract powers to get (2^3\times3^2\times5\times7). Step 3: Exponent subtraction is very useful in ratio 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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