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If (72=2^3\times3^2) and (120=2^3\times3\times5), what is the LCM of 72 and 120?
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Answer and explanation
Correct answer: 360
Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^3), (3^2), and (5^1). Step 3: (8\times9\times5=360), so the answer is 360.
Frequently asked questions
What is the correct answer to this question?
360
Why is this the correct answer?
Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^3), (3^2), and (5^1). Step 3: (8\times9\times5=360), so the answer is 360.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Fundamental Theorem of Arithmetic.
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