Question

Determine the greatest 4-digit number which is exactly divisible by 6,8,12

Answer 1

If a number is divisible by 12 then it is automatically divisible by 6.

Coming from backward,

We should only try even numbers.

9998 is not divisible by any of the number.

9996 is divisible by 6 and 12 but nit by 8.

So, leave 9994, 9992, 9990, 9988, 9986.

The next number is 9984 which is divisible by all 12, 8, 6.

9984/12 = 832

9984/6 = 1664

9984/8 = 1248.

Answer 2

Answer:

Step-by-step explanation:

First find the least common multiple of 6,8 and 12 =>

2|6,8,12

2|3,4,6

3|3,2,3

2|1,2,1

|1,1,1 Hence L.C.M. of 6,8 and 12 is 2×2×3×2=>24. Smallest 4 digit number is 1000. Divide it by 24 we get 16 as remainder So add 8 then the resulting number which is 1008 is divisible by 6,8 and 12. Hope it helps you.