List five numbers that have 3,5, and seven as prime factors?

The lowest common multiple of 3, 5, and 7 is  105, so
that's the smallest number that has those prime factors.

Every multiple of  105  is another one:

     210,  315,  420,  etc.

So is  (105) times (any multiple of 3 or 5 or 7):

  (x 3, 6, 9)             315,  630, 945,  etc.

  (x 5, 10, 15)         525,  1050, 1575,  etc.

  (x 7, 14, 21)         735,  1470,  2205,  etc.