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If (L) is the LCM of (2^3\times5^2\times11) and (2^5\times3\times5\times11^2), what will be the power of (11) in (L)?

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Answer and explanation

Correct answer: (2)

Step 1: LCM takes the higher power of every prime. Step 2: The powers of (11) are (1) and (2), so (L) contains (11^2). Step 3: Compare powers only for the same base.

Related tags

Real-NumbersLcmPrime-Power

Frequently asked questions

What is the correct answer to this question?

(2)

Why is this the correct answer?

Step 1: LCM takes the higher power of every prime. Step 2: The powers of (11) are (1) and (2), so (L) contains (11^2). 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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