If two numbers are (18u) and (18v), where (u) and (v) are coprime and (uv=40), what will be their LCM?
Answer and explanation
Correct answer: (720)
Step 1: When (u) and (v) are coprime, the LCM of (18u) and (18v) is (18uv). Step 2: Since (uv=40), LCM (=18\times40=720). Step 3: Factoring out the HCF is useful in such questions.
Frequently asked questions
What is the correct answer to this question?
(720)
Why is this the correct answer?
Step 1: When (u) and (v) are coprime, the LCM of (18u) and (18v) is (18uv). Step 2: Since (uv=40), LCM (=18\times40=720). Step 3: Factoring out the HCF is useful in such questions.
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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