If drummers play every other day, saxophone every 3 days and trumpets every 4 and they all come together on April 8th, when will they come back together again?

Question

If drummers play every other day, saxophone every 3 days and trumpets every 4 days, and they all play together on April 8th, when will they play again?

Answer 1

They play together cyclically, where the cycle length is the LCM of the three numbers.

 

LCM of 2, 3, and 4 is required.

 

Count by 4s until you reach a number that has the other two numbers as factors.

 

4   no

8   no

12  yes

 

They play together every 12 days.