To find a number that is a multiple of both 3 and 4, you need to find a common multiple of these two numbers. The least common multiple (LCM) of 3 and 4 can be calculated as follows:
- The prime factorization of 3 is \(3^1\).
- The prime factorization of 4 is \(2^2\).
To find the LCM, you take the highest power of each prime factor:
- For \(2\), the highest power is \(2^2\) (from 4).
- For \(3\), the highest power is \(3^1\) (from 3).
So, the LCM of 3 and 4 is:
\[ 2^2 \times 3^1 = 4 \times 3 = 12 \]
Therefore, any multiple of 12 will be a multiple of both 3 and 4. Examples of multiples of 12 include 12, 24, 36, and so on. If you have specific options to choose from, any option that is a multiple of 12 will be a correct answer.