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If two numbers have prime factorisations (2^5\times3^4) and (2^8\times3^2), what is the ratio of their LCM to HCF?
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Answer and explanation
Correct answer: 72
Step 1: HCF is (2^5\times3^2=288). Step 2: LCM is (2^8\times3^4=20736). Step 3: The ratio is (20736\div288=72).
Frequently asked questions
What is the correct answer to this question?
72
Why is this the correct answer?
Step 1: HCF is (2^5\times3^2=288). Step 2: LCM is (2^8\times3^4=20736). Step 3: The ratio is (20736\div288=72).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.
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