List the prime factorization for $$4$$, $$6$$ and $$8$$ first. $$4=2^{2}$$, $$6=2\times3$$, $$8=2^{3}$$. The largest exponent for $$2$$ is $$3$$,~~and the largest exponent for $$3$$ is $$1$$, thus the least common multiple for $$4$$, $$6$$, and $$8$$ is $$2^{3}\times3=24$$. We choose $$\rm C$$． 
Find the value for lcm $$\left[ 4,6,8\right]$$. 
(A) $$8$$ 
(B) $$12$$ 
(C) $$24$$ 
(D) $$48$$ 