Chapter 12.5, Problem 33E

To determine

To find :theleast common multiple of the numbers $5,9,10$ .

Answer to Problem 33E

the least common multiple of the numbers $5,9,10$ is $90$ .

Explanation of Solution

Given : the numberis $5,9,10$ .

Calculation: to find the least common multiple, first find factor the numbers,

  $\begin{array}{l}5=5·1\text{ [factor]}\\ 9=3·3\text{ [factor]}\\ 10=2·5\text{ [factor]}\end{array}$

Then multiply the non common factors and use common factor only one time.

Least common multiple= $\begin{array}{l}5·3·3·2\\ 90\text{ [multiply]}\end{array}$

Hence,the least common multiple of the numbers $5,9,10$ is $90$ .