If (L) is the LCM of (2^4\times3\times5^2) and (2^2\times3^3\times5), what will be the power of (3) in (L)?
Answer and explanation
Correct answer: (3)
Step 1: LCM uses the higher power of every prime. Step 2: The powers of (3) are (1) and (3), so (L) contains (3^3). Step 3: Compare powers only for the same base.
Frequently asked questions
What is the correct answer to this question?
(3)
Why is this the correct answer?
Step 1: LCM uses the higher power of every prime. Step 2: The powers of (3) are (1) and (3), so (L) contains (3^3). Step 3: Compare powers only for the same 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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