Find Prime factors of 96 and 404
$$
\begin{aligned}
&96=2 \times 2 \times 2 \times 2 \times 2 \times 3 \\
&404=2 \times 2 \times 101
\end{aligned}
$$
$$
\begin{aligned}
&\operatorname{LCM}(96 \text { and } 404)=2^{5} \times 3 \times 101=9696 \\
&\operatorname{HCF}(96 \text { and } 404)=2^{2}=4
\end{aligned}
$$
Verification:
$$
\mathrm{HCF} \times \mathrm{LCM}=9696 \times 4=38784
$$
$$
\begin{aligned}
&\text { Product of given numbers }=96 \times 404=38784 \\
&\text { HCF } \times \text { LCM = Product of given numbers }
\end{aligned}
$$
Verified.
