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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationExpertLevel 12
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If (L) is the LCM of (102), (170), and (255), what is the value of (L)?

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Answer and explanation

Correct answer: (510)

Step 1: (102=2\times3\times17), (170=2\times5\times17), and (255=3\times5\times17). Step 2: The required primes are (2), (3), (5), and (17), so the LCM is (510). Step 3: Take a common prime once and include every distinct prime.

Related tags

Real-NumbersLcmPrime-Factorisation

Frequently asked questions

What is the correct answer to this question?

(510)

Why is this the correct answer?

Step 1: (102=2\times3\times17), (170=2\times5\times17), and (255=3\times5\times17). Step 2: The required primes are (2), (3), (5), and (17), so the LCM is (510). Step 3: Take a common prime once and include every distinct prime.

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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