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Three machines make a sound at intervals of (6), (9), and (15) minutes. After how many minutes will they make a sound together again?
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Answer and explanation
Correct answer: (90)
Step 1: The common sound time is the LCM of (6), (9), and (15). Step 2: (6=2\times3), (9=3^2), and (15=3\times5). Step 3: (2\times3^2\times5=90), so the answer is (90) minutes.
Frequently asked questions
What is the correct answer to this question?
(90)
Why is this the correct answer?
Step 1: The common sound time is the LCM of (6), (9), and (15). Step 2: (6=2\times3), (9=3^2), and (15=3\times5). Step 3: (2\times3^2\times5=90), so the answer is (90) minutes.
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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