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If (a=2^5\times3^2\times5) and (b=2^3\times3\times5^2\times7), what is the LCM of (a) and (b)?
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Answer and explanation
Correct answer: 50400
Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^5), (3^2), (5^2), and (7). Step 3: (32\times9\times25\times7=50400), so the answer is 50400.
Frequently asked questions
What is the correct answer to this question?
50400
Why is this the correct answer?
Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^5), (3^2), (5^2), and (7). Step 3: (32\times9\times25\times7=50400), so the answer is 50400.
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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