If Ms. Herbert gives her class a English quiz every 6 days any math quiz every 10 days when is the first day there will be a math and English quiz on the same day
What is the least common multiple of 6 and 10?
To find out when the first day will be that there is a math and English quiz on the same day, we need to determine the least common multiple (LCM) of 6 and 10. The LCM is the smallest number that is divisible by both 6 and 10.
To find the LCM, we can use different methods such as listing multiples, prime factorization, or using a calculator. Here, let's use the listing multiples method:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
From the lists, we can see that the least common multiple of 6 and 10 is 30.
Therefore, the first day there will be a math and English quiz on the same day will be in 30 days.