Question

Using common multiple method, find the L.C.M of $36,48,72$ and $90$.

Answer 1

Finding the mutiple of $36,48,72$ and $90$.

Multiples of $36=36,72,108,144,180,216,252,288,324,360,396,432,468,504,540,576,612,648,684,720,756,792,828,864,900,936,972,1008,1044,1080,1116,1152,1188,1224,1260,1296,1332,1368,1404,1440,......$

Multiples of $48=48,96,144,192,240,288,336,384,432,480,528,576,624,672,720,768,816,864,912,960,1008,1056,1104,1152,1200,1248,1296,1344,1392,1440,......$

Multiples of $72=72,144,216,288,360,432,504,576,648,720,792,864,936,1008,1080,1152,1224,1296,1368,1440,.....$

Multiples of $90=90,180,270,360,450,540,630,720,810,900,990,1080,1170,1260,1350,1440,....$

Finding the the L.C.M of $36,48,72$ and $90$.

Common multiples of $36,48,72$ and $90=720,1440,...$

L.C.M. (Lowest common multiple) of $36,48,72$ and $90=720$.

Hence, the L.C.M of $36,48,72$ and $90$ is $720$.