Question 63

What is the greatest 3-digit number divisible by 4, 5 and 6?

Solution

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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.

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