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If (L) is the LCM of (98), (147), and (245), what is the value of (L)?
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Answer and explanation
Correct answer: (1470)
Step 1: (98=2\times7^2), (147=3\times7^2), and (245=5\times7^2). Step 2: The highest powers are (2), (3), (5), and (7^2), so LCM (=2\times3\times5\times49=1470). Step 3: Take the common highest power (7^2) only once.
Frequently asked questions
What is the correct answer to this question?
(1470)
Why is this the correct answer?
Step 1: (98=2\times7^2), (147=3\times7^2), and (245=5\times7^2). Step 2: The highest powers are (2), (3), (5), and (7^2), so LCM (=2\times3\times5\times49=1470). Step 3: Take the common highest power (7^2) only once.
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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