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If (a=2^7\times3^4\times13^2) and (b=2^5\times3^6\times5^2\times13), what is the LCM of (a) and (b)?
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Answer and explanation
Correct answer: 354859200
Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^7), (3^6), (5^2), and (13^2). Step 3: (128\times729\times25\times169=394221600), so the correct value is 394221600.
Frequently asked questions
What is the correct answer to this question?
354859200
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), (5^2), and (13^2). Step 3: (128\times729\times25\times169=394221600), so the correct value is 394221600.
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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