What is the greatest 3-digit number divisible by 4, 5 and 6?
Solution
The greatest 3 digit number = 999 LCM of 4,5,6 = 60 Dividing 999 by 60, we get a remainder of 39. Subtracting 999-39 = 960. Therefore, 960 is the greatest 3 digit number divisible by 4,5,6.