What will be the LCM of the three numbers (2^4\times 3^2), (2^2\times 3^5\times 5), and (2^3\times 5^2)?
Answer and explanation
Correct answer: (2^4\times 3^5\times 5^2)
Step 1: LCM takes the greatest exponent of every prime factor present. Step 2: The greatest exponent of (2) is (4), of (3) is (5), and of (5) is (2). So the answer is (2^4\times 3^5\times 5^2). Step 3: Any prime appearing in at least one number must appear in the LCM.
Frequently asked questions
What is the correct answer to this question?
(2^4\times 3^5\times 5^2)
Why is this the correct answer?
Step 1: LCM takes the greatest exponent of every prime factor present. Step 2: The greatest exponent of (2) is (4), of (3) is (5), and of (5) is (2). So the answer is (2^4\times 3^5\times 5^2). Step 3: Any prime appearing in at least one number must appear in the LCM.
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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