The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
Question
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
Solution
To find the least number that should be added to 2497 so that the sum is exactly divisible by 5, 6, 4, and 3, we need to find the least common multiple (LCM) of these numbers.
Step 1: Find the LCM of 5, 6, 4, and 3. The LCM of these numbers is 60.
Step 2: Divide 2497 by the LCM (60). The quotient is 41 and the remainder is 37.
Step 3: Subtract the remainder (37) from the LCM (60). The result is 23.
So, the least number that should be added to 2497 so that the sum is exactly divisible by 5, 6, 4, and 3 is 23.
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