Find the $\text{l.c.m.}$ and $\text{g.c.d.}$ of the following by using the fundamental theorem of arithmetic: $84$,$90$,and $120$.

(N/A) To find the $\text{l.c.m.}$ and $\text{g.c.d.}$ using the fundamental theorem of arithmetic,we first find the prime factorization of each number:
$84 = 2^2 \times 3^1 \times 7^1$
$90 = 2^1 \times 3^2 \times 5^1$
$120 = 2^3 \times 3^1 \times 5^1$
$\text{g.c.d.}$ is the product of the smallest power of each common prime factor:
$\text{g.c.d.}(84, 90, 120) = 2^1 \times 3^1 = 6$
$\text{l.c.m.}$ is the product of the highest power of each prime factor present in the numbers:
$\text{l.c.m.}(84, 90, 120) = 2^3 \times 3^2 \times 5^1 \times 7^1 = 8 \times 9 \times 5 \times 7 = 2520$