Question

The LCM of 72, 120 and 160 ​

Answer 1

Answer:

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Step-by-step explanation:

Listing multiples is a brute force method. It may be useful in special cases, e.g. if the numbers are relatively small.

#1 Make a list of the multiples of each number, until you find the first common multiple of all the numbers:

• Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656 ...

• Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, 1200, 1320, 1440, 1560, 1680, 1800 ...

• Multiples of 160: 160, 320, 480, 640, 800, 960, 1120, 1280, 1440, 1600, 1760, 1920 ...

Answer 2

Answer:

72 =2 x 2 x 2 x 3 x 3

120= 2 x 2 x 2 x 3 x 5

160= 2 x 2 x 2 x 2 x 2 x 5

therefore ,

LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

= 1440