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Class 10MathematicsReal NumbersPrime FactorisationMediumLevel 11

What will be the exponent of (3) in the LCM of (2^4 \times 3^2 \times 5) and (2^2 \times 3^3 \times 7)?

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Answer and explanation

Correct answer: 3

Step 1: In LCM, take the larger exponent of each prime. Step 2: The exponents of (3) are (2) and (3), so the larger exponent is (3). Step 3: For LCM, choose the maximum exponent.

Tags

real-numberslcmprime-factorisation

Frequently asked questions

What is the correct answer to this question?

3

Why is this the correct answer?

Step 1: In LCM, take the larger exponent of each prime. Step 2: The exponents of (3) are (2) and (3), so the larger exponent is (3). Step 3: For LCM, choose the maximum exponent.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Prime Factorisation.

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