Find the largest possible number of 5 digits which is exactly divisible by 32, 36 and 40.

Explanation

Since the largest 4 digit number is 9999, so the required number can not exceed 9999 any how. Now we take the appropriate multiple of 1440. Since 1440 is divisible by the given numbers, so the multiples of 1440 must be divisible by the given numbers.
Hence `1440 xx 6` = 8640 is the largest possible number since `1440 xx 7` = 10080 is greater than 9999 which is not admissible. Hence, 8640 is the largest possible 4 digit no. which is divisible by all the given numbers.