Find the $\text{l.c.m.}$ and $\text{g.c.d.}$ of the following by using the fundamental theorem of arithmetic: $144$,$180$,and $192$.

(N/A) Step $1$: Prime factorization of the numbers:
$144 = 2^4 \times 3^2$
$180 = 2^2 \times 3^2 \times 5^1$
$192 = 2^6 \times 3^1$
Step $2$: To find the $\text{g.c.d.}$,take the product of the smallest power of each common prime factor:
$\text{g.c.d.} = 2^2 \times 3^1 = 4 \times 3 = 12$
Step $3$: To find the $\text{l.c.m.}$,take the product of the highest power of each prime factor involved:
$\text{l.c.m.} = 2^6 \times 3^2 \times 5^1 = 64 \times 9 \times 5 = 2880$