trevor jogs every 3 days and swims every 4 days how often does he jog and swIM on the same day
The LCM (Lowest common multiple) of the two numbers is the length of the cycle when he does the two activities the same day. Since 3 and 4 do not have common factors, the LCM is simply the product of the two numbers.
every 14 days
every 12 days
To find out how often Trevor jogs and swims on the same day, we need to determine the frequency at which the two activities overlap. Trevor jogs every 3 days and swims every 4 days.
We can start by finding the least common multiple (LCM) of 3 and 4, which will give us the smallest number that is divisible by both 3 and 4.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40...
From the lists above, we can see that 12 is the smallest number divisible by both 3 and 4. Therefore, Trevor jogs and swims on the same day every 12 days.
So, Trevor jogs and swims on the same day every 12 days.