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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 11
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A number is divisible by (2^4\times3^2\times5) and also by (2^3\times3^4\times7). What will be the power of (3) in the smallest such number?

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Answer and explanation

Correct answer: (4)

Step 1: The smallest such number is the LCM of the two given numbers. Step 2: The higher power of (3) is (4), so the smallest number contains (3^4). Step 3: For divisibility, check powers in the LCM.

Related tags

Real-NumbersLcmPower

Frequently asked questions

What is the correct answer to this question?

(4)

Why is this the correct answer?

Step 1: The smallest such number is the LCM of the two given numbers. Step 2: The higher power of (3) is (4), so the smallest number contains (3^4). Step 3: For divisibility, check powers in the 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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