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A number leaves remainder (0) when divided by (225), (270), and (315). What is the smallest such number?
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Answer and explanation
Correct answer: (9450)
Step 1: Remainder (0) means the number is exactly divisible by all three numbers. Step 2: (225=3^2\times5^2), (270=2\times3^3\times5), and (315=3^2\times5\times7), so the LCM is (9450). Step 3: For the smallest divisible number, find the LCM.
Frequently asked questions
What is the correct answer to this question?
(9450)
Why is this the correct answer?
Step 1: Remainder (0) means the number is exactly divisible by all three numbers. Step 2: (225=3^2\times5^2), (270=2\times3^3\times5), and (315=3^2\times5\times7), so the LCM is (9450). Step 3: For the smallest 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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