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If (L) is the LCM of (108), (162), and (270), what is the value of (L)?
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Answer and explanation
Correct answer: (1620)
Step 1: (108=2^2\times3^3), (162=2\times3^4), and (270=2\times3^3\times5). Step 2: The highest powers are (2^2), (3^4), and (5), so LCM (=4\times81\times5=1620). Step 3: Use the highest powers to get the final value.
Frequently asked questions
What is the correct answer to this question?
(1620)
Why is this the correct answer?
Step 1: (108=2^2\times3^3), (162=2\times3^4), and (270=2\times3^3\times5). Step 2: The highest powers are (2^2), (3^4), and (5), so LCM (=4\times81\times5=1620). Step 3: Use the highest powers to get the final value.
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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