What can 5 6 and 7 all go into?

Answer 1

Every number besides 0 can be safely divided into 3, 5, and 7, although most of the resultant quotients will have a non-zero remainder.

If you require all three quotients to have a remainder of zero, then the divisor must be the reciprocal of any non-zero integer.

If you require the divisor itself to be a non-zero integer, then there are only two numbers that can be divided into 3, 5, and 7 without a remainder, 1 and -1.

Answer 2

Any element of the set of numbers of the form 210*k, where k is an integer, is evenly divisible.

Answer 3

35 and its multiples.

Answer 4

630 is one possible answer.

Answer 5

Any multiple of 210.

Answer 6

315