what are the multiples of 12 and 15?
12, 24, 36, 48, 60, 72, 84, 96
15, 30, 45, 60, 75, 90
The lowest multiple of both 12 and 15 is 60. This called the Lowest Common Multiple (LCM). Any multiple of 60 (such as 300) is also a multiple.
To find the multiples of 12 and 15, we need to list all the numbers that can be divided evenly by both 12 and 15.
First, let's find the multiples of 12. Multiples of a number are obtained by multiplying that number by other whole numbers. So, multiplying 12 by different whole numbers will give us its multiples.
12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
12 x 4 = 48
12 x 5 = 60
...
Next, let's find the multiples of 15 in the same way:
15 x 1 = 15
15 x 2 = 30
15 x 3 = 45
15 x 4 = 60
15 x 5 = 75
...
Now, let's compare the multiples of 12 and 15. Both lists contain the number 60, so it is a multiple of both 12 and 15. Therefore, the multiples of 12 and 15 are:
Multiples of 12: 12, 24, 36, 48, 60, ...
Multiples of 15: 15, 30, 45, 60, ...
Therefore, the common multiples of 12 and 15 are 60 and onward.