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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 12
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If a number is divisible by both (2^6\times3^2\times7) and (2^4\times3^5\times13), what will be the power of (3) in the smallest such number?

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Answer and explanation

Correct answer: (5)

Step 1: The smallest number divisible by both is their LCM. Step 2: The powers of (3) are (2) and (5), so the higher power (5) is used. Step 3: For divisibility, choose the required highest power.

Related tags

Real-NumbersLcmPrime-Power

Frequently asked questions

What is the correct answer to this question?

(5)

Why is this the correct answer?

Step 1: The smallest number divisible by both is their LCM. Step 2: The powers of (3) are (2) and (5), so the higher power (5) is used. Step 3: For divisibility, choose the required highest power.

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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