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Determine the greatest four-digit number which is exactly divisible by 10,12,16.?
Given: 10,12,16.
To find: We have to find the greatest four-digit number which is exactly divisible by 10,12,16.
Solution:
LCM of 10, 12, 16 = 240
We know that the greatest four-digit number is 9999.
Now, if divide 9999 by 240 we get 41 as quotient and 159 as a reminder.
So subtract 159 from 9999 to get the greatest four-digit number which is exactly divisible by 10,12,16.
9999 - 159 = 9840.
So the required number is 9840.
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