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What is the smallest number exactly divisible by (24), (36), and (54)?
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Answer and explanation
Correct answer: (216)
Step 1: The smallest number divisible by all given numbers is their LCM. Step 2: (24=2^3\times3), (36=2^2\times3^2), and (54=2\times3^3), so LCM (=2^3\times3^3=216). Step 3: For the smallest exactly divisible number, find the LCM.
Frequently asked questions
What is the correct answer to this question?
(216)
Why is this the correct answer?
Step 1: The smallest number divisible by all given numbers is their LCM. Step 2: (24=2^3\times3), (36=2^2\times3^2), and (54=2\times3^3), so LCM (=2^3\times3^3=216). Step 3: For the smallest exactly divisible number, find the LCM.
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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