Final answer:
The Least Common Multiple of 3, 4, and 6 is 12 by listing and comparing multiples of each number.
Step-by-step explanation:
The student has asked to find the Least Common Multiple (LCM) of 3, 4, and 6 by listing the nonzero multiples of each number and selecting the correct answer from the given options. To solve this, we will list some multiples of 3, 4, and 6 to find the smallest nonzero multiple that is common to all three numbers.
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- Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ...
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- Multiples of 4: 4, 8, 12, 16, 20, 24, ...
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- Multiples of 6: 6, 12, 18, 24, ...
By comparing these lists, we can see that the Least Common Multiple of 3, 4, and 6 is 12. Thus, from the given options, the answer is c. 12.