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If (A=2^2\times3\times5^3) and (B=2^5\times3^2\times5), which prime factor will have power (3) in the LCM?
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Answer and explanation
Correct answer: (5)
Step 1: LCM uses the higher power of each prime. Step 2: The powers of (5) are (3) and (1), so (5^3) appears in the LCM. Step 3: Compare powers separately for each prime base.
Frequently asked questions
What is the correct answer to this question?
(5)
Why is this the correct answer?
Step 1: LCM uses the higher power of each prime. Step 2: The powers of (5) are (3) and (1), so (5^3) appears in the LCM. Step 3: Compare powers separately for each prime base.
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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