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There are many ways to introduce GCD's and LCM's to students. This lesson gives examples of word problems to help the students better understand how to work the problem and provides rods as a tool for the students to succeed in visually solving the problem(s). It also offers the cake method for this lesson.

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Least Common Multiple and Greatest Common Factor Worksheets

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Here are some Least Common Multiple and Greatest Common Factor worksheets and best teaching methods. GCF and LCM are two of the most important topics.

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This lesson plan uses Rods. If your students have never used rods, model how to use this tool. For example, you can model finding the greatest common factor for 8 and 12. Go through the process of finding the different factors for 8 with the rods, starting with the 1 rods, then lining up the 2 rods underneath and so on. This is a great place to teach into how to organize your factors into a list as you discover them with the rods. Then do the same for 12 and model looking for the GCF in each list.After sufficient practice, you can remove the rods scaffolding. Help students generalize that just like they used this list to find common factors, this list can be used to help them find the GCF for larger numbers. You can then teach prime factorization and the factor tree.

To use rods in an LCM station, start by asking students to make two trains of the same size using rods for the numbers you’ve chosen. For example, in the Quidditch problem above I would model making one train out of 3’s rod and the other train out of 5’s rods.

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Grade 6.

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MS College and Career Readiness Standard:

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MS College and Career Readiness Standard:

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1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.

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Least Common Multiple and Greatest Common Factor ..., prealgebracoach.com/wp-content/uploads/2020/01/2-7-Guide-Notes-SE-Least-Common-Multiple-and-Greatest-Common-Factor.pdf. Accessed 6 Mar. 2025.

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By. “Least Common Multiple and Greatest Common Factor Worksheets.” MathTeacherCoach, 18 Apr. 2024, mathteachercoach.com/least-common-multiple-and-greatest-common-factor-worksheets/.