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If (A=2^{12}\times3^8\times5^4) and (B=2^9\times3^{10}\times7^5), which is the LCM of (A) and (B)?
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Answer and explanation
Correct answer: (2^{12}\times3^{10}\times5^4\times7^5)
Step 1: LCM uses the highest powers of all prime factors. Step 2: The highest powers are (2^{12}), (3^{10}), (5^4), and (7^5). Step 3: So the correct form is (2^{12}\times3^{10}\times5^4\times7^5).
Frequently asked questions
What is the correct answer to this question?
(2^{12}\times3^{10}\times5^4\times7^5)
Why is this the correct answer?
Step 1: LCM uses the highest powers of all prime factors. Step 2: The highest powers are (2^{12}), (3^{10}), (5^4), and (7^5). Step 3: So the correct form is (2^{12}\times3^{10}\times5^4\times7^5).
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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