Ответ:

[tex]3360[/tex]

Пошаговое объяснение:

[tex]{\begin{array}{l}{\begin{array}{r|r}105&3 \\ 35&5 \\ 7&7 \\ 1&\; \\ \end{array}} \\ {\begin{array}{l}\phantom{8} \\ \phantom{8} \\ \phantom{8} \\ \phantom{8} \\ \end{array}} \\ \end{array}}&{\begin{array}{l}{\begin{array}{r|l}224&2 \\ 112&2 \\ 56&2 \\ 28&2 \\ 14&2 \\ 7&7 \\ 1&\; \\ \end{array}} \\ {\begin{array}{l}\phantom{8} \\ \end{array}} \\ \end{array}}[/tex]

[tex]105=3\cdot 5\cdot 7\phantom{8^2}\\224=2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 7=2^{5}\cdot7\\\\[/tex]

НСК(105,224)=2⁵⋅3⋅5⋅7=3360