11,112 x 9 = 100,008
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108 is the smallest 3-digit number divisible by 2,3,4 & 6
100089
-3
A number which is divisible by both 2 & 3 is a multiple of 6 i.e. the number is divisible by 6.So, we need to find out the smallest 5 digit number divisible by 6(or 2 & 3).Smallest 5 digit number = 10000Dividing 10000 by 6, we get10000 = 6 x 1666 + 49996 = 6 x 1666If we add 6 to 9996 we obtain a number which is divisible by 6.6 + 9996 = 10002(divisible by 6).So, the smallest five digit number divisible by 6 is 10002.==========================================Here is another one that's smaller than 10,002 and satisfiesthe other specifications stated in the question:6.0000
120