\[\boxed{\mathbf{172\ (172).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ НОК\ (2;4;6;8;10) =\]
\[= 2^{3} \cdot 3 \cdot 5 = 8 \cdot 3 \cdot 5 = 40 \cdot 3 =\]
\[= 120\]
\[4 = 2^{2};\ \ 6 = 2 \cdot 3;\ \ \ 8 = 2^{3};\ \ \]
\[10 = 2 \cdot 5.\]
\[2)\ НОК\ (4;6;8;9) = 2^{3} \cdot 3^{2} =\]
\[= 8 \cdot 9 = 72\]
\[4 = 2^{2};\ \ 6 = 2 \cdot 3;\ \ 8 = 2^{3};\ \ \]
\[0\ 9 = 3^{2}.\]