The greatest 4 digit number which is exactly divisible by
12, 16, 20 and 24 show solutions
Let us first find the LCM of 12, 16, 20 and 24.
Any higher common multiple of these four numbers will be a multiple of the LCM i.e. 240.
Dividing 9999 (which is the highest 4 digit number) by 240 we get 41.6625.
So, 41×240 = 9840 will be the answer.