\[\boxed{\text{565\ (565).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[1)\ a^{2}\ и\ 3b:\ \]
\[2 \cdot a^{2} \cdot 3b = 6a^{2}\text{b.}\]
\[2)\ 5x\ \ и\ 6y:\]
\[\ 2 \cdot 5x \cdot 6y = 60xy.\]
\[3)\ 0,5m\ \ и\ \ 4n:\]
\[\ 0,5m \cdot 4n \cdot 2 = 4mn.\]
\[4)\frac{1}{3}m^{2}\ и\ \ 6m:\]
\[\ 2 \cdot \frac{1}{3}m^{2} \cdot 6m = 4m^{3}.\]