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Home > CC1 > Chapter 2 > Lesson 2.3.2 > Problem 2-66


Copy and complete the table of multiples below. (Count by s and count by s.) Extend the table so that it has columns of values.


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 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.

  1. 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 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 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.

  2. 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.

  3. 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 .