Find the LCM of 96 and 360 by using fundamental theorem of arithmetic.

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asked Nov 28, 2017 in Mathematics by Golu (37,045 points) 19 172 618

Find the LCM of 96 and 360 by using fundamental theorem of arithmetic.

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answered Nov 28, 2017 by Rohit Singh (61,782 points) 36 144 464
selected Nov 28, 2017 by Golu
 
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Solution:
96 = 2 x 2 x 2 x 2 x 2 x 3 = 25 x 3
360 = 2 x 2 x 2 x 3 x 3 x 5 = 23 x 32 x 5
=> LCM (96, 360) = 25 x 32 x 5 = 1440

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