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If (A=2^{10}\times3^6\times5^2) and (B=2^7\times3^8\times7^3), which is the LCM of (A) and (B)?
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Answer and explanation
Correct answer: (2^{10}\times3^8\times5^2\times7^3)
Step 1: LCM uses the highest powers of all prime factors. Step 2: The highest powers are (2^{10}), (3^8), (5^2), and (7^3). Step 3: So the correct form is (2^{10}\times3^8\times5^2\times7^3).
Frequently asked questions
What is the correct answer to this question?
(2^{10}\times3^8\times5^2\times7^3)
Why is this the correct answer?
Step 1: LCM uses the highest powers of all prime factors. Step 2: The highest powers are (2^{10}), (3^8), (5^2), and (7^3). Step 3: So the correct form is (2^{10}\times3^8\times5^2\times7^3).
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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