the least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is

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the least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is

The query "the least number which when divided by 4," seems incomplete, but based on common mathematical problems starting with this phrase, it likely involves finding the least number divisible by 4 or a number that, when divided by 4, leaves a specific remainder. If the question is about the least number exactly divisible by 4, the smallest such positive number is 4 itself. If it extends to conditions like "the least number which when divided by 4, 6, 8, 12, and 16 leaves the same remainder," an example is:

  • The least number which when divided by 4, 6, 8, 12, and 16 leaves a remainder of 2 is 50. This is because the number minus the remainder must be divisible by the least common multiple (LCM) of these divisors, and the LCM of 4, 6, 8, 12, and 16 is 48, so the number is 48+2=5048+2=5048+2=50.

If there is a more specific condition or if more information is provided, a precise answer can be given.