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If (m=2^2\times3^a\times5) and (n=2^4\times3^3\times5^b\times13) have LCM (2^4\times3^5\times5^2\times13), which values are correct?
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Answer and explanation
Correct answer: (a=5), (b=2)
Step 1: LCM takes the highest power of every prime. Step 2: The highest power of (3) must be (5), so (a=5); the highest power of (5) must be (2), so (b=2). Step 3: Focus on the maximum powers in LCM.
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What is the correct answer to this question?
(a=5), (b=2)
Why is this the correct answer?
Step 1: LCM takes the highest power of every prime. Step 2: The highest power of (3) must be (5), so (a=5); the highest power of (5) must be (2), so (b=2). Step 3: Focus on the maximum powers in 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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