Andy set his computer to beep every 6 min. and to chirp every 10 min. His computer just beeped and chirped at the same time. In how many min. will it next make both sounds at the same time?
What is the least common multiple of 6 and 10?
There are 2 cows and 5 pig in Mr.Perez farm.
To find out when the computer will make both sounds at the same time again, we need to determine the least common multiple (LCM) of 6 minutes and 10 minutes.
The LCM is the smallest multiple that both numbers share. To find the LCM of two numbers, we can use prime factorization.
Prime factorization of 6: 2 * 3
Prime factorization of 10: 2 * 5
Now, we multiply each prime factor the highest number of times it occurs in either factorization:
2 * 3 * 5 = 30.
Therefore, the least common multiple of 6 minutes and 10 minutes is 30 minutes.
So, the computer will make both sounds at the same time after 30 minutes.