Tammy must choose a number between 67 and 113 what is a multiple of 4, 6, and 8? what are all the numbers she could choose?

Since is simultaneously a multiple of 4, 6, and 8, it must be also be a multiple of the least common multiple of the three, which would be 24. So any , where is an integer, such that will belong to the desired set of numbers.

The number of positive multiples of 24 less than or equal to 113 is , while the number of positive multiples of 24 less than or equal to 67 is , so there are numbers that are each multiples of 4, 6, and 8, and fall between 67 and 113. These numbers are 72 and 96.