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The prime factorisations of three numbers are (2^3\times3^2\times11), (2^5\times3\times5), and (2^2\times3^4\times7). What will be their LCM?
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Answer and explanation
Correct answer: (2^5\times3^4\times5\times7\times11)
Step 1: LCM uses the highest power of every prime factor present. Step 2: The highest powers are (2^5), (3^4), (5), (7), and (11). Step 3: Include a prime even if it appears in only one number.
Frequently asked questions
What is the correct answer to this question?
(2^5\times3^4\times5\times7\times11)
Why is this the correct answer?
Step 1: LCM uses the highest power of every prime factor present. Step 2: The highest powers are (2^5), (3^4), (5), (7), and (11). Step 3: Include a prime even if it 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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