Question

The smallest 4 digit number which is exactly divisible by 2, 3,8,10 is

Answer 1

1080 is the answer of your question

Answer 2

The smallest number which divides 2,3,8,10 exactly is 1080.

To get the smallest number which divides 2,3,8,10 exactly, is nothing but the L.C.M. of 2,3,8,10.

2 = 1 × 2

3 = 1 × 3

8 = 1 × 2 × 2 × 2

10 = 1 × 2 × 5

∴ L.C.M = 1 × 2 × 2 × 2 × 3 × 5 = 180

So, 120 is the smallest number which divides 2,3,8,10 exactly.

Now, to get the smallest 4-digit number, we have to multiply 120 with such a number so that the smallest 4-digit number is produced.

If multiply 120 with 9, it gives 1080, which is the smallest number which divides 2,3,8,10 exactly.