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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 10
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If the LCM of two numbers is (2^5\times3^3\times5) and their HCF is (2^2\times3), what is the power of (2) in the product of the two numbers?

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Answer and explanation

Correct answer: (7)

Step 1: The product of two numbers equals HCF (\times) LCM. Step 2: The powers of (2) are (5) and (2), so the total power is (7). Step 3: When multiplying prime powers with the same base, add the powers.

Related tags

Real-NumbersPrime-PowersHcf-Lcm

Frequently asked questions

What is the correct answer to this question?

(7)

Why is this the correct answer?

Step 1: The product of two numbers equals HCF (\times) LCM. Step 2: The powers of (2) are (5) and (2), so the total power is (7). Step 3: When multiplying prime powers with the same base, add the powers.

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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