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Which of the following numbers is divisible by both (2^3\times3^2\times5) and (2^2\times3^4\times7)?
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Answer and explanation
Correct answer: (2^3\times3^4\times5\times7)
Step 1: A number divisible by both must be a multiple of their LCM. Step 2: The LCM contains (2^3), (3^4), (5), and (7). Step 3: For divisibility, every required prime power must be present.
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What is the correct answer to this question?
(2^3\times3^4\times5\times7)
Why is this the correct answer?
Step 1: A number divisible by both must be a multiple of their LCM. Step 2: The LCM contains (2^3), (3^4), (5), and (7). Step 3: For divisibility, every required prime power must be present.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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