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If the LCM of (40), (64), and (96) is found, what will be the power of (2)?

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Answer and explanation

Correct answer: (6)

Step 1: Compare the powers of (2) separately. Step 2: (40=2^3\times5), (64=2^6), and (96=2^5\times3), so the power of (2) in the LCM is (6). Step 3: You can compare powers before calculating the full LCM.

Related tags

Real-NumbersLcmPower

Frequently asked questions

What is the correct answer to this question?

(6)

Why is this the correct answer?

Step 1: Compare the powers of (2) separately. Step 2: (40=2^3\times5), (64=2^6), and (96=2^5\times3), so the power of (2) in the LCM is (6). Step 3: You can compare powers before calculating the full 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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