# Max sneezes every 5 minutes, Lina coughs every 6 minutes, and their dog barks every 3 minutes. If th

Discussion in 'Calculator Requests' started by math_celebrity, May 19, 2019.

Max sneezes every 5 minutes, Lina coughs every 6 minutes, and their dog barks every 3 minutes. If there was sneezing, barking, and coughing at 3:15 PM, when is the next time that these three sounds will happen simultaneously?

To find the next time the sounds happen simultaneously, we want to find the Least Common Multiple (LCM).

Using our LCM Calculator, we find the least common multiple of 3, 5, and 6 is 30. The least common multiple gives us a common time where each sound reaches a "cycle".

• Dog: A bark every e minutes means the dog has 10 barks, with the 10th bark at 30 minutes after 3:15
• Max: A sneeze every 5 minutes means he has 6 sneezes, with the 6th sneeze at 30 minutes after 3:15
• Lisa: A cough every 6 minutes means she has 5 coughs, with the 5th cough at 30 minutes after 3:15
30 minutes after 3:15 means we have: 3:15 + 30 = 3:45 PM