LCM is short for the Lowest Common Multiple
In order to get this we need to get the Greatest Common Factor (GCF) and multiply it to the remaining numbers
So we get the factors:
[tex]360= 2^{3} * 3^{2} *5[/tex]
[tex]378= 2* 3^{3} *7[/tex]
The GCF is [tex]2* 3^{2} =18[/tex]
Therefore the LCM is [tex]18* 2^{2} *5*3*7=7560[/tex]