Multiples of a number are the result of multiply that number by 1, 2, 3, 4, 5, and so on.
Example: the first multiples of 6 are: 6, 12, 18, 24, 30, 36, …
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
Least Common Multiple LCM. Is the smallest multiple that is exactly divisible by the numbers. The way to find it is to list all of the multiples of the given numbers and find the smallest number they have in common. Ex. Find the LCM of (8, 12)
8, 16, 24, 32, 40, 48
12, 24, 36, 48, 60, 72 the LCM of (8, 12) is 24
When working with fractions, the LCM is called the least common denominator (LCD). Is the LCM (Least Common Multiple) of all the denominators.
The way to find it is to list all of the multiples and the first one in common is the one you use. For example, with 6 and 4, you would list the multiples and find the lowest one:
4: 4, 8, 12, 16, 20
6: 6, 12, 18, 24, 30