### Examples

*Example:*Middleton Middle School’s band has an upcoming winter concert which will have several performances. The bandleader would like to divide the students into concert groups with the same number of flute players, the same number of clarinet players and the same number of violin players in each group. There are a total of 15 students who play the flute, 27 students who play the clarinet and 12 students who play the violin. How many separate groups can be formed?

*Example:* Adam works out every 8 days and Susan works out every 12 days. If both Adam and Susan work out today, how many days until they work out on the same day again?

### Clarifications

*Clarification 1:*Within this benchmark, expectations include finding greatest common factor within 1,000 and least common multiple with factors to 25.

*Clarification 2*: Instruction includes finding the greatest common factor of the numerator and denominator of a fraction to simplify a fraction.

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**6

**Strand:**Number Sense and Operations

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Original Student Tutorials

## Tutorials

## Video/Audio/Animation

## MFAS Formative Assessments

Students are given two whole numbers less than or equal to 100 and asked to find the greatest common factor.

Students are asked to find the least common multiple of 8 and 12 and to explain how they found their answers.

## Original Student Tutorials Mathematics - Grades 6-8

Learn how to find the least common multiple by helping Brady and Natalia work through some homework questions in this interactive student tutorial.

This is part 1 of 2-part series, click HERE to view part 2.

Use the least common multiple to solve real-life problems with Brady and Natalia in this interactive tutorial.

This is part 2 of 2-part series, click HERE to view part 1.

## Student Resources

## Original Student Tutorials

Use the least common multiple to solve real-life problems with Brady and Natalia in this interactive tutorial.

This is part 2 of 2-part series, click HERE to view part 1.

Type: Original Student Tutorial

Learn how to find the least common multiple by helping Brady and Natalia work through some homework questions in this interactive student tutorial.

This is part 1 of 2-part series, click HERE to view part 2.

Type: Original Student Tutorial

## Tutorials

This video demonstrates the prime factorization method to find the lcm (least common multiple).

Type: Tutorial

In this tutorial, students will be exposed to the strategy of finding the least common denominator for certain cases. Elementary teachers should note this is not a requirement for elementary standards and consider whether this video will further student knowledge or create confusion. This chapter explains how to find the smallest possible common denominator. *For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. *

Type: Tutorial