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Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticExpertLevel 5
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If (a=2^8\times3^5\times5^2) and (b=2^5\times3^7\times7^3), what is the LCM of (a) and (b)?

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Answer and explanation

Correct answer: 38482790400

Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^8), (3^7), (5^2), and (7^3). Step 3: Their product is 38482790400, so that is the answer.

Related tags

LcmPrime-FactorisationExpert

Frequently asked questions

What is the correct answer to this question?

38482790400

Why is this the correct answer?

Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^8), (3^7), (5^2), and (7^3). Step 3: Their product is 38482790400, so that is the answer.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.

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