1. The problem is to find the least common multiple (LCM) of given denominators. 2. The LCM of denominators is the smallest number that each denominator divides into without leaving a remainder. 3. To find the LCM, first list the prime factors of each denominator. 4. Then, take the highest power of each prime factor that appears in any denominator. 5. Multiply these highest powers together to get the LCM. 6. For example, if the denominators are 4 and 6: - Prime factors of 4 are $2^2$ - Prime factors of 6 are $2^1 \times 3^1$ 7. The LCM is $2^2 \times 3^1 = 4 \times 3 = 12$ 8. So, the least common multiple of 4 and 6 is 12. 9. This method works for any set of denominators.