A video game has three villains who appear on screen at different intervals. One villain appears every 5 seconds, a second villain appears every 10 seconds, and a third villain appears every 16 seconds. Find the least common multiple of 5, 10, and 16 to determine how much time will pass before all three villains appear at the same time.
800 seconds
240 seconds
160 seconds
80 seconds
That would be 80.
Yeah, so technically what you are supposed to do is list all of the multiples of the numbers 5, 10, and 16:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80*, 85, 90, 95, 100 and so on
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80* , 90, 100 and so one
Multiples of 16: 16, 32, 48, 64, 80*, 96, 112 and so on
A common multiple that ALL of them share is 80. So, all of the villains will appear at the same time, after 80 seconds!
Hope this helped!
Sincerely,
Noob Impostor