Which of the following is the Least Common Multiple of 6, 12 and 18?
- 18
- 36
- 72
- None of these
Explanation
To find the LCM, let's break down the numbers into their prime factors:
6 = 2 * 3
12 = 2² * 3
18 = 2 * 3²
The LCM will have the highest powers of these primes:
LCM = 2² * 3² = 4 * 9 = 36
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