The greatest number of three digits which is exactly divisible by 3, 4, 5 and 8 is:
Given:
Three digit number divisible by 3, 4, 5, 8
Solution:
the Least Common Multiple (LCM) of 3, 4, 5, and 8 is 120
The greatest three-digit number is 999. To find the largest number that is divisible by 120, we divide 999 by 120 and round down to the nearest whole number:
Rounding down gives 8, so the largest multiple of 120 less than or equal to 999 is:
Thus, the greatest three-digit number divisible by 3, 4, 5, and 8 is 960.
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