What is the least common multiple of numbers 3 4 6 and 8?

To find the least common multiple (LCM) of 3, 4, 6, and 8, we first find the prime factorization of each number:

* 3 = 3

* 4 = 2²

* 6 = 2 × 3

* 8 = 2³

The LCM is found by taking the highest power of each prime factor present in the factorizations:

* The highest power of 2 is 2³ = 8

* The highest power of 3 is 3¹ = 3

Therefore, the LCM(3, 4, 6, 8) = 2³ × 3 = 8 × 3 = 24.

Final Answer: The final answer is $\boxed{24}$