\(36|2\\18|2\\.\ 9|3\\.3|3\\.\ 1\\36=\fbox{\fbox2}\cdot\fbox2\cdot\fbox{\fbox{3}}\cdot\fbox{\fbox{3}}\\27|3\\.\ 9|3\\.\ 3|3\\.\ 1|\\27=\fbox{\fbox3}}\cdot\fbox{\fbox3}\cdot\fbox3\\10|2\\.\ 5|5\\.\ 1|\\10=\fbox{\fbox2}}\cdot\fbox5\\\\therefore\\\\LCM(36;\ 27;\ 10)=\fbox{\fbox3}}\cdot\fbox{\fbox{3}}\cdot\fbox{\fbox2}}\cdot\fbox2\cdot\fbox3\cdot\fbox5=\boxed{\boxed{540}}\leftarrow \boxed{c)}\)
