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If two numbers have HCF (24) and LCM (720), which of the following pairs can be possible?
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Answer and explanation
Correct answer: (72,240)
Step 1: A correct pair must give both HCF (24) and LCM (720). Step 2: (72=2^3\times 3^2) and (240=2^4\times 3\times 5). Their HCF is (2^3\times 3=24) and LCM is (2^4\times 3^2\times 5=720). Step 3: For option checking, prime factorise first.
Frequently asked questions
What is the correct answer to this question?
(72,240)
Why is this the correct answer?
Step 1: A correct pair must give both HCF (24) and LCM (720). Step 2: (72=2^3\times 3^2) and (240=2^4\times 3\times 5). Their HCF is (2^3\times 3=24) and LCM is (2^4\times 3^2\times 5=720). Step 3: For option checking, prime factorise first.
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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