Math6-8
GCF and LCM Problem Set for 6th Grade
By Jessica B.
A practice problem set for 6th graders that builds fluency in finding the greatest common factor and least common multiple, using prime factorization and real-world word problems. It opens with key concepts and a worked example that model the method step by step before students work independently.
Customize for your classroom
Teacher Guide & Tips
- Use this as independent practice after a lesson introducing factors, multiples, and prime factorization; it fits well in a 45-minute block or as homework.
- Discussion question: When would you need the GCF to split items into equal groups, and when would you need the LCM to find when two events line up?
- Scaffold for struggling readers: Have students build a factor tree for each number first, then list the shared prime factors before computing the GCF or LCM.
- Extension for advanced students: Ask them to find the GCF and LCM of three numbers and explain why the GCF times the LCM does not equal the product of all three numbers.
- Estimated time: Roughly 30-40 minutes for the full set, depending on how many real-world problems you assign.
Math6-8
GCF and LCM Problem Set for 6th Grade
By Jessica B.
A practice problem set for 6th graders that builds fluency in finding the greatest common factor and least common multiple, using prime factorization and real-world word problems. It opens with key concepts and a worked example that model the method step by step before students work independently.
Customize for your classroom
Teacher Guide & Tips
- Use this as independent practice after a lesson introducing factors, multiples, and prime factorization; it fits well in a 45-minute block or as homework.
- Discussion question: When would you need the GCF to split items into equal groups, and when would you need the LCM to find when two events line up?
- Scaffold for struggling readers: Have students build a factor tree for each number first, then list the shared prime factors before computing the GCF or LCM.
- Extension for advanced students: Ask them to find the GCF and LCM of three numbers and explain why the GCF times the LCM does not equal the product of all three numbers.
- Estimated time: Roughly 30-40 minutes for the full set, depending on how many real-world problems you assign.