### Home > CC1 > Chapter 8 > Lesson 8.2.1 > Problem8-77

8-77.

The first four multiples of $5$ are $5$, $10$, $15$, and $20$.

1. What are the first six multiples of $10$?

To find the first six multiples of $10$, you simply multiply $10$ by the numbers $1$ through $6$ separately and create a list of the products you find similar to the list written above.

The first six multiples of $10$ are $10,20,30,40,50$, and $60$.

2. What are the first six multiples of $8$?

The first six multiples of $8$ are $8,16,24,32,40$, and $48$.

3. What is the least common multiple of $10$ and $8$?

The Least Common Multiple of two or more integers is the lowest positive integer that is divisible by both (or all ) of the integers. For example, the multiples of $3$ and $5$ are shown below in the table.  $15$ is the Least Common Multiple because it is the smallest positive integer divisible by both $3$ and $5$. Use this idea to find the least common multiple of $10$ and $8$.

$\begin{array}{c|c|c|c|c|c} \quad 3 \; & \; 6 \; & \; 9 \; & \; 12 \; & \; \mathbf{15} \; & \; 18 \quad\\ \hline \quad 5 \; & \; 10 \; & \; \mathbf{15} \; & \; 20 \; & \; 25 \; & \; 30 \quad\\ \end{array}$

4. What is the greatest common factor of $10$ and $8$

The Greatest Common Factor of two or more integers is the greatest positive integer that is a factor of both (or all) of the integers. For example, the factors of $18$ are $1$, $2$, $3$, $6$, and $18$ and the factors of $12$ are $1$, $2$, $3$, $4$, $6$, and $12$, so the Greatest Common Factor of $12$ and $18$ is $6$.

The factors of $10$ are: $1,\ 2,\ 5$, and $10$. The factors of $8$ are: $1,2,4,$ and $8$. Can you find the greatest common factor now?