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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 10
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If the LCM of (2^3\times3^b\times5) and (2^4\times3^2\times5^3) is (2^4\times3^5\times5^3), what can be the value of (b)?

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Answer and explanation

Correct answer: (5)

Step 1: The highest power of (3) in the LCM must be (5). Step 2: The second number has (3^2), so (b=5) gives the required highest power (5). Step 3: For LCM, check the maximum-power condition.

Related tags

Real-NumbersLcmUnknown-Power

Frequently asked questions

What is the correct answer to this question?

(5)

Why is this the correct answer?

Step 1: The highest power of (3) in the LCM must be (5). Step 2: The second number has (3^2), so (b=5) gives the required highest power (5). Step 3: For LCM, check the maximum-power condition.

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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