To clear the fractions from the equation \( y = \frac{23}{1}x + \frac{14}{1} \), we observe that both coefficients (23 and 14) are integers, so there are no actual fractions to clear in the given equation.
However, if we want to convert it into standard form \( Ax + By = C \), we can multiply through by 1 (the greatest common denominator). Since there are no fractions, we don't need to multiply by any other number such as 4, 3, 12, or 6.
Therefore, the answer to the question is that you do not need to multiply by any number to clear fractions because there are none in the equation. However, if you still want to find a multiplier to rewrite it in standard form, you can say that multiplying by 1 is sufficient. If interpreting the options as a common multiple to form integers, the answer would typically be 1, but since that isn't an option given, it looks like a misunderstanding in the way the question was framed.
Ultimately, since the intent is to clear fractions and multiply, we might be seeking the least common multiple of whole numbers, which would usually yield 1 for integer formats. If absolutely required to choose one of the given answers, we might consider none apply correctly, hence suggesting a potential reconsideration of the question.