Problem on finding least number

[burgess]

Help need to solve math homework problem

Six bells start ringing together and ring at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they ring together?

Thanks

 

[Prove It]

So how many intervals of 2 seconds are there in 30 mins?

How many intervals of 4 seconds?

How many intervals of 6? etc...

 

[Opalg]

Help need to solve math homework problem

Six bells start ringing together and ring at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they ring together?

Thanks

You need to find the least common multiple of 2, 4, 6, 8, 10 and 12. That will give you the interval (measured in seconds) between times when they all ring together. You then have to find how many of those intervals there are in 30 minutes.

 

[burgess]

You need to find the least common multiple of 2, 4, 6, 8, 10 and 12. That will give you the interval (measured in seconds) between times when they all ring together. You then have to find how many of those intervals there are in 30 minutes.

Thanks for your answer

 

[CellCoree]

for reaching out for help with your math homework problem. It looks like you have a problem involving finding the least number or least common multiple (LCM) of a set of numbers. In this case, the numbers are 2, 4, 6, 8, 10, and 12. The LCM is the smallest positive number that is a multiple of all of these numbers.

To solve this problem, you can use the prime factorization method. First, write out the prime factorization of each number:

2 = 2
4 = 2 x 2
6 = 2 x 3
8 = 2 x 2 x 2
10 = 2 x 5
12 = 2 x 2 x 3

Next, identify the common factors among all of the numbers. In this case, the only common factor is 2. So, the LCM can be found by multiplying all of the unique factors together:

LCM = 2 x 2 x 2 x 3 x 5 = 120

Therefore, the bells will ring together every 120 seconds or every 2 minutes in 30 minutes. To find the number of times they will ring together, we can divide 30 minutes (1800 seconds) by 120 seconds to get 15. So, the bells will ring together 15 times in 30 minutes.

I hope this helps you solve your math homework problem. If you have any further questions, please don't hesitate to ask. Good luck!