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If (L) is the LCM of (75), (125), and (200), what is the value of (L)?
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Answer and explanation
Correct answer: (1500)
Step 1: (75=3\times5^2), (125=5^3), and (200=2^3\times5^2). Step 2: The highest powers are (2^3), (3), and (5^3), so LCM (=8\times3\times125=3000). Step 3: Do not forget that (5^3=125).
Frequently asked questions
What is the correct answer to this question?
(1500)
Why is this the correct answer?
Step 1: (75=3\times5^2), (125=5^3), and (200=2^3\times5^2). Step 2: The highest powers are (2^3), (3), and (5^3), so LCM (=8\times3\times125=3000). Step 3: Do not forget that (5^3=125).
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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