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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHardLevel 12
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If (L) is the LCM of (75), (125), and (200), what is the correct value of (L)?

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Answer and explanation

Correct answer: (3000)

Step 1: Prime factorise: (75=3\times5^2), (125=5^3), and (200=2^3\times5^2). Step 2: LCM (=2^3\times3\times5^3=3000). Step 3: Use the highest powers to get the final value.

Related tags

Real-NumbersLcmPrime-Factorisation

Frequently asked questions

What is the correct answer to this question?

(3000)

Why is this the correct answer?

Step 1: Prime factorise: (75=3\times5^2), (125=5^3), and (200=2^3\times5^2). Step 2: LCM (=2^3\times3\times5^3=3000). Step 3: Use the highest powers to get the final value.

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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