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Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticHardLevel 6
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If (m=2^6\times3^3\times5^2) and (n=2^4\times3^5\times5^4), what is the power of 5 in the LCM of (m) and (n)?

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Answer and explanation

Correct answer: 4

Step 1: In LCM, take the higher power. Step 2: The powers of 5 are 2 and 4. Step 3: The higher power is 4, so the answer is 4.

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Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

Step 1: In LCM, take the higher power. Step 2: The powers of 5 are 2 and 4. Step 3: The higher power is 4, so the answer is 4.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.

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  4. 4What does uniqueness mean in the Fundamental Theorem of Arithmetic?
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  6. 6The number (2^3\times3^2) is equal to which number?
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