The equation given is \( y = 23x + 14 \). In this case, there are no fractions present in the equation.
The standard form of a linear equation is \( Ax + By = C \), where A, B, and C are integers. The coefficients in the equation provided are already integers, hence no multiplication is needed to clear any fractions.
So, technically, Rahul would multiply the equation by 1 to keep it unchanged. However, since "1" is not an option in your responses, it seems there may be a misunderstanding in the quest for what number to multiply by.
In any case, if we assume there might be a need to rewrite it in standard form, it's worth noting that you'd typically move \(23x\) to the left side of the equation:
\[ -23x + y = 14 \]
In this standard form, coefficients are integers as required.
If any of your options were to somehow reference clearing fractions, it seems there are none present, hence you wouldn't actually need any of the provided numbers. But again, assuming the need for multiplication isn't present due to the absence of fractions, the best answer based on the choices given is none.
To summarize, if you had to pick from the options given, you'd select none, or you'd clarify the equation itself since each one of those listed numbers (4, 6, 3, 12) doesn't apply here directly.