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To find what is divisible by 19, 57, and 38, we need to find the least common multiple (LCM) of these numbers. The LCM of 19, 57, and 38 is the smallest number that is divisible by all three numbers. To calculate the LCM, we can factorize each number into its prime factors: 19 = 19, 57 = 3 x 19, and 38 = 2 x 19. The LCM of 19, 57, and 38 is then the product of the highest power of each prime factor - in this case, 2 x 3 x 19 = 114. Therefore, 114 is divisible by 19, 57, and 38.

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