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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 12
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If (L) is the LCM of (2^5\times3^4\times5) and (2^7\times3^2\times5^3\times17), how many distinct prime factors will (L) have?

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Answer and explanation

Correct answer: (4)

Step 1: The LCM contains all distinct primes appearing in both numbers. Step 2: The distinct primes are (2), (3), (5), and (17), so there are (4). Step 3: Count only distinct prime bases, not their powers.

Related tags

Real-NumbersLcmDistinct-Primes

Frequently asked questions

What is the correct answer to this question?

(4)

Why is this the correct answer?

Step 1: The LCM contains all distinct primes appearing in both numbers. Step 2: The distinct primes are (2), (3), (5), and (17), so there are (4). Step 3: Count only distinct prime bases, not their 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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