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Class 10MathematicsReal NumbersFundamental Theorem of ArithmeticExpertLevel 4
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If (a=2^7\times3^4\times5^3) and (b=2^4\times3^6\times7^2), what is the LCM of (a) and (b)?

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Answer and explanation

Correct answer: 714420000

Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^7), (3^6), (5^3), and (7^2). Step 3: (128\times729\times125\times49=714420000), so the answer is 714420000.

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LcmPrime-FactorisationExpert

Frequently asked questions

What is the correct answer to this question?

714420000

Why is this the correct answer?

Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^7), (3^6), (5^3), and (7^2). Step 3: (128\times729\times125\times49=714420000), so the answer is 714420000.

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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