Answer :
[tex]LCM\ is\ the\ least\ common\ number\ that\ is\ multiply\ of\ both:\\\\
120:2\\
60:2\\
30:2\\
15:3\\
5:5\\\\
360:2\\
180:2\\
90:2\\
45:5\\
9:3\\
3:3\\\\
LCM=2^3*3^2*5=8*9*5=360\\\\The\ least\ common\ multiple\ is\ 360.[/tex]