the school cafeteria serves pizza every sixth day and applesauce every eighth day. suppose that pizza and applesauce are both on today's menu. In how many days will they be together on the menu again?
What is the least common multiple of 6 and 8?
2+2
24
To find out how many days it will take for pizza and applesauce to be together on the menu again, we need to determine the least common multiple (LCM) of 6 and 8. The LCM is the smallest number that is divisible by both 6 and 8.
One way to find the LCM is to list the multiples of each number until we find a common multiple:
For 6: 6, 12, 18, 24, 30, 36, 42, ...
For 8: 8, 16, 24, 32, 40, 48, ...
We can see that 24 is the smallest number that appears in both lists. Therefore, the LCM of 6 and 8 is 24.
So, pizza and applesauce will be together on the menu again in 24 days.