Multiple: the product of any # and a whole # is a multiple of that number.
Ex. List the first 4 multiples of 6
6x1=6
6 x 2 = 12
6, 12, 18, and 42
6 x 3 = 18
are the first 4 multiples of 6
6 x 4 = 24
Least Common Multiple (LCM): the smallest # that is a multiple of two or more #’s.
Method 1: *Starting with the bigger of the numbers, start listing multiples
*Stop when you get to an number that the other number(s) go into.
Ex. Find the LCM of 8 and 12
*Start listing the multiples of 12
12: 12, 24
*We can stop at 24 because 8 can go into 24 evenly…so, 24 is the LCM
Ex. Find the LCM of 2, 4, 5, and 6
*Start listing the multiples of 6
6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
*We stop at 60 because it is the first multiple that all the numbers can go
into evenly…so, 60 is the LCM
Method 2: *Cake Method
*Do the same thing as you would do for GCF except multiply the bottom
row on numbers also!
*Can only be used when finding the LCM of 2 numbers
Ex. Find the LCM of 16 and 24
2
4
16
24
8
12
2
3
48
so we multiply 2 x 4 x 2 x 3 = 48