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If two numbers are (30u) and (30v), where (u) and (v) are coprime and (uv=26), what will be their LCM?
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Answer and explanation
Correct answer: (780)
Step 1: When (u) and (v) are coprime, the LCM of (30u) and (30v) is (30uv). Step 2: Since (uv=26), LCM (=30\times26=780). Step 3: Factoring out the HCF simplifies the question.
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What is the correct answer to this question?
(780)
Why is this the correct answer?
Step 1: When (u) and (v) are coprime, the LCM of (30u) and (30v) is (30uv). Step 2: Since (uv=26), LCM (=30\times26=780). Step 3: Factoring out the HCF simplifies the question.
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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