john calls his dad every 3 days. Katie calls every 4 days. Jamie calls every 6 days. once in every ________ days, all three will call on the same day.
The least common multiple is 12.
12
Susan goes swimming every 4 days, Jackie goes every 6 days and Lisa goes every 10 days. how many days later will they go swimming together
To find the number of days when all three will call on the same day, we need to find the least common multiple (LCM) of the individual calling frequencies.
The calling frequencies for John, Katie, and Jamie are 3 days, 4 days, and 6 days respectively.
To find the LCM, we can list the multiples of each number until we find a common multiple:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30...
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60...
From the list, we can see that the least common multiple (LCM) of 3, 4, and 6 is 12.
Therefore, once every 12 days, all three will call on the same day.