1. Identify the denominators: 12, 3, 4.
2. Find the prime factorizations:
12 = 2^2 \cdot 3
3 = 3^1
4 = 2^2
3. Determine the highest power of each prime number:
- For 2: the highest power is 2^2 .
- For 3: the highest power is 3^1 .
4. Multiply these highest powers together:
2^2 \cdot 3^1 = 4 \cdot 3 = 12
5. The lowest common denominator is:
\text{LCD} = 12
Thus, the answer is
\text{LCD} = 12