Find the smallest number that should be added to 1500, so that the sum is exactly divisible by 18, 20 and 24.
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18=2×32
20=22×5
24=23×3
Hence, their least common multiple is 23×32×5=360. This means that, for a number to divide by 18, 20, and 24, it needs to be a multiple of 360.
The smallest multiple of 360 that is greater than 1500 is 1800.
Thus, we need to add at least 300 to the number 1500 so that the sum (1800) is divisible by 18, 20, and 24.
Step-by-step explanation:
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