### Home > CC1MN > Chapter 2 > Lesson 2.2.2 > Problem 2-47

Copy and complete the table of multiples below. (Count by

Three | three column 1 | three column 2 | three column 3 | three column 4 | three column 5 is blank. ... | three column 6 is blank. | three column 7 is blank. |

Four | four column 1 | four column 2 | four column 3 | four column 4 is blank. ... | four column 5 is blank. | four column 6 is blank. | four column 7 is blank. |

Write down all the numbers that appear in both rows. Describe any pattern(s) that you notice.

If you are having trouble filling out the table, it may be helpful to refer to your multiplication table. Also, you can simply add

or to each previous value to produce a new multiple. Three

three column 1

three column 2

three column 3

three column 4

three column 5

three column 6

three column 7

three column 8

three column 9

three column 10

three column 11

three column 12

three column 13

four

four column 1

four column 2

four column 3

four column 4

four column 5

four column 6

four column 7

four column 8

four column 9

four column 10

four column 11

four column 12

four column 13

The table is filled out above. Do you see any patterns? Perhaps there are several multiples of another number? Don't forget to describe the patterns you notice.

What is the smallest multiple of both

and ? Here, you should look for the least common multiple. Remember, the least common multiple is the smallest number that

and share as multiples, or have in common. Write three more numbers that are multiples of both

and . It will help to extend your table to find the next multiples.

The next three common multiples in the sequence are

, , and .