If (A=2^{11}\times3^7\times5^3) and (B=2^8\times3^9\times7^4), which is the LCM of (A) and (B)?
Answer and explanation
Correct answer: (2^{11}\times3^9\times5^3\times7^4)
Step 1: LCM uses the highest powers of all prime factors. Step 2: The highest powers are (2^{11}), (3^9), (5^3), and (7^4). Step 3: So the correct form is (2^{11}\times3^9\times5^3\times7^4).
Frequently asked questions
What is the correct answer to this question?
(2^{11}\times3^9\times5^3\times7^4)
Why is this the correct answer?
Step 1: LCM uses the highest powers of all prime factors. Step 2: The highest powers are (2^{11}), (3^9), (5^3), and (7^4). Step 3: So the correct form is (2^{11}\times3^9\times5^3\times7^4).
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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