CPM Homework Help : MC1 Problem 1-95

Copy and complete the table of multiples below (count by $2$ 's and count by $3$ 's).

Two	$2$	$4$	$6$
Three	$3$	$6$

Hint:

Remember, counting by $2$ 's means that you should add $2$ to each number to get the next number. For example, you can see that the first number in the sequence is two and the next number is $4$ . Adding $2$ to $4$ , the next number is $6$ . ( $2+2=4$ and $4+2=6$ )

Write down all the numbers that appear in both rows. Describe any pattern(s) that you notice.
Answer (a):
$6$ , $12$ , and $18$ are in both rows.
Hint (a):
What do you notice about these numbers? Are they multiples of a number other than $2$ and $3$ ?
What is the smallest number that appears in both rows? This number is said to be the least common multiple of two and three.
Hint (b):
Looking at part (a) of this problem may make this easier.
In the table, what is the greatest common multiple of both two and three?
Hint (c):
Remember, the greatest common multiple is the largest multiple two factors have in common. Refer to part (a) again.
Write three more common multiples of two and three.
Hint (d):
To answer this question, it will help to keep counting by $2$ 's and $3$ 's.
Answer (d):
Three more common multiples of $2$ and $3$ are $24$ , $30$ , and $36$ .