We need to find when the three shuttles will leave the airport at the same time.
Where:
A = Every 8 mins
B = Every 10 mins
C = Every 5 mins
To find this, we need to find the LCM of 8,10,5.
Use the prime factorization:
8 = 2*2*2 =2³
10= 5*2
5 = 5
Use the number when it occurs most often:
Then, the LCM = 2³ * 5 = 40
Hence, they will leave the airport together at 4:40 pm.