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Name [tex]$\qquad$[/tex] Date [tex]$\qquad$[/tex] Lesson 11 Quiz (continued)

4. David is watching Maria and Alma race electric trains around two identical tracks. Maria's train can go around the track in 10 seconds. Alma's train can go around the track in 12 seconds. David wonders, if the trains start at the same time, how many seconds will it take for both trains to cross the finish line together the first time?

Part A

Complete the explanation for how David can answer his question. Use words and phrases from the box to fill in the blanks.

\begin{tabular}{|lrrr|}
\hline
\multicolumn{2}{|l|}{\begin{tabular}{l}
greatest common factor (GCF) \\
factors
\end{tabular}} & least & multiples \\
\hline
\end{tabular}

David needs to find the [tex]$\qquad$[/tex] of 10 and 12. To find this, he could list [tex]$\qquad$[/tex] of both 10 and 12 and circle each number that appears in both lists. He should then identify the [tex]$\qquad$[/tex] number that is circled in both lists.



Answer :

GinnyAnswer
Name: _______________

Date: _______________

Lesson 11 Quiz continued

4. David is watching Maria and Alma race electric trains around two identical tracks. Maria's train can go around the track in 10 seconds. Alma's train can go around the track in 12 seconds. David wonders, if the trains start at the same time, how many seconds will it take for both trains to cross the finish line together the first time?

Part A
Complete the explanation for how David can answer his question. Use words and phrases from the box to fill in the blanks.
\begin{tabular}{|lrrr|}
\hline
\multicolumn{2}{|l|}{\begin{tabular}{l}
greatest common factor (GCF) \\
factors
\end{tabular}} & least & multiples \\
\hline
\end{tabular}

David needs to find the __least common multiple (LCM)__ of 10 and 12. To find this, he could list __multiples__ of both 10 and 12 and circle each number that appears in both lists. He should then identify the __least__ number that is circled in both lists.

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