Answer: 
Step-by-step explanation:
Let be:
, 
and 
the three consecutive even integers whose sum is -24
Then, we can write this expression:
Now, we must solve for "x":
Then you get that the others integers are:
Therefore, the three consecutive even integers whose sum is -24 are:
You can obtain the a number for which they all divisors by calculating the least common multiple.
This way:
85 = 5*17*1
17=17*1
19=19*1
4=2^2 *1
2=2*1
The least common multiple is: 5*17*19*2^2 = 6,460.
Then 84, 17, 19, 4 and 2 are all divisors of 6,460.
Step-by-step explanation:
all work is pictured/shown
