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Question

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


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Solution

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.


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