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What is the smallest number exactly divisible by (25), (40), and (64)?
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Answer and explanation
Correct answer: (1600)
Step 1: The smallest number divisible by all is the LCM. Step 2: (25=5^2), (40=2^3\times5), and (64=2^6), so LCM (=2^6\times5^2=1600). Step 3: Do not miss (2^6) because of (64).
Frequently asked questions
What is the correct answer to this question?
(1600)
Why is this the correct answer?
Step 1: The smallest number divisible by all is the LCM. Step 2: (25=5^2), (40=2^3\times5), and (64=2^6), so LCM (=2^6\times5^2=1600). Step 3: Do not miss (2^6) because of (64).
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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