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What is the smallest number exactly divisible by (32), (48), and (80)?
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Answer and explanation
Correct answer: (480)
Step 1: The smallest number divisible by all given numbers is their LCM. Step 2: (32=2^5), (48=2^4\times3), and (80=2^4\times5), so LCM (=2^5\times3\times5=480). Step 3: Do not forget the highest power of each prime.
Frequently asked questions
What is the correct answer to this question?
(480)
Why is this the correct answer?
Step 1: The smallest number divisible by all given numbers is their LCM. Step 2: (32=2^5), (48=2^4\times3), and (80=2^4\times5), so LCM (=2^5\times3\times5=480). Step 3: Do not forget the highest power of each prime.
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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