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If (a=2^5\times3^2\times11) and (b=2^3\times3^4\times5), what is the value of (\frac{\text{LCM}}{\text{HCF}})?
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Answer and explanation
Correct answer: (2^2\times3^2\times5\times11)
Step 1: HCF takes the smaller powers (2^3) and (3^2). Step 2: LCM takes (2^5), (3^4), (5), and (11), so the ratio becomes (2^2\times3^2\times5\times11). Step 3: Subtract powers when dividing prime factor forms.
Frequently asked questions
What is the correct answer to this question?
(2^2\times3^2\times5\times11)
Why is this the correct answer?
Step 1: HCF takes the smaller powers (2^3) and (3^2). Step 2: LCM takes (2^5), (3^4), (5), and (11), so the ratio becomes (2^2\times3^2\times5\times11). Step 3: Subtract powers when dividing prime factor forms.
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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