If the LCM of (80), (144), and (225) is found, how many distinct prime factors will it have?
Answer and explanation
Correct answer: (3)
Step 1: Prime factorise: (80=2^4\times5), (144=2^4\times3^2), and (225=3^2\times5^2). Step 2: The distinct primes in the LCM are (2), (3), and (5), so the count is (3). Step 3: Do not count powers as separate primes.
Frequently asked questions
What is the correct answer to this question?
(3)
Why is this the correct answer?
Step 1: Prime factorise: (80=2^4\times5), (144=2^4\times3^2), and (225=3^2\times5^2). Step 2: The distinct primes in the LCM are (2), (3), and (5), so the count is (3). Step 3: Do not count powers as separate primes.
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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