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If (a=2^8\times3^5\times17^2) and (b=2^6\times3^7\times5^2\times17), which is the LCM of (a) and (b)?
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Answer and explanation
Correct answer: (2^8\times3^7\times5^2\times17^2)
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 (17^2). Step 3: So the correct form is (2^8\times3^7\times5^2\times17^2).
Frequently asked questions
What is the correct answer to this question?
(2^8\times3^7\times5^2\times17^2)
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 (17^2). Step 3: So the correct form is (2^8\times3^7\times5^2\times17^2).
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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