Question

determine the smallest 3-digit no. exactly divisible by 6,8,12

Answer 1

Hi ,

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The smallest number which is divisible

by x , y and z is L.C. M of x ,y and z.

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i ) The smallest number which is divisible

by 6 , 8 ,12 is

L.C.M ( 6,8,12 ) = 24

ii ) multiples of 24 = { 24 , 48 , 72 , 96 , 120 , 144,.. }

Therefore,

The smallest 3 - digit number exactly divisible

by 6 , 8 , 12 is 120.

I hope this helps you.

:)