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The prime factorisations of three numbers are (2^4\times3\times5^2), (2^2\times3^3\times5), and (2^3\times3^2\times7). What is their LCM?
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Answer and explanation
Correct answer: (2^4\times3^3\times5^2\times7)
Step 1: For LCM, take the highest power of every prime factor present. Step 2: The highest powers are (2^4), (3^3), (5^2), and (7). Step 3: Do not miss a prime factor that appears in only one number.
Frequently asked questions
What is the correct answer to this question?
(2^4\times3^3\times5^2\times7)
Why is this the correct answer?
Step 1: For LCM, take the highest power of every prime factor present. Step 2: The highest powers are (2^4), (3^3), (5^2), and (7). Step 3: Do not miss a prime factor that appears in only one number.
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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