a radio station is giving every third caller a t shirt and every tenth caller a mug. which caller will be the first to receive both prizes
What is the smallest multiple of both 3 and 10?
is the answer 30 hard to find your answer after asking question
Yes, it's 30.
Thank you
You're welcome.
To determine which caller will be the first to receive both prizes (a t-shirt and a mug), we need to find the lowest common multiple of the numbers 3 and 10. The lowest common multiple (LCM) is the smallest positive integer that is divisible by both numbers.
To find the LCM of 3 and 10, we can list the multiples of each number and look for the first common multiple:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
From the lists above, we see that the first common multiple of 3 and 10 is 30. Therefore, the 30th caller will be the first to receive both prizes (a t-shirt and a mug).