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If (108=2^2\times3^3) and (180=2^2\times3^2\times5), what is their LCM?

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Answer and explanation

Correct answer: (540)

Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^2), (3^3), and (5). Step 3: (4\times27\times5=540), so the answer is (540).

Related tags

Real-NumbersLcmGiven-Factorisation

Frequently asked questions

What is the correct answer to this question?

(540)

Why is this the correct answer?

Step 1: For LCM, take the highest powers of all prime factors. Step 2: The highest powers are (2^2), (3^3), and (5). Step 3: (4\times27\times5=540), so the answer is (540).

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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