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If (96=2^5\times3) and (144=2^4\times3^2), what is the LCM of (96) and (144)?
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Answer and explanation
Correct answer: (2^5\times3^2)
Step 1: For LCM, choose the larger power of each prime. Step 2: The larger power of (2) is (2^5), and that of (3) is (3^2), so LCM (=2^5\times3^2). Step 3: Do not assume the larger given number is always the LCM.
Frequently asked questions
What is the correct answer to this question?
(2^5\times3^2)
Why is this the correct answer?
Step 1: For LCM, choose the larger power of each prime. Step 2: The larger power of (2) is (2^5), and that of (3) is (3^2), so LCM (=2^5\times3^2). Step 3: Do not assume the larger given number is always the LCM.
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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