Free Printable WorksheetMathGrade 5Math Curriculum5.30

5.30 Least Common Multiple Worksheet

Download our free printable Grade 5 Math worksheet on 5.30 Least Common Multiple. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.30 Least Common Multiple. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the least common multiple of two whole numbers and explain how the LCM can help create common denominators or synchronize repeating events. Choose the option that shows correct common-multiple reasoning. Corresponding standards: Not listed in source.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 5

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 5.30 Least Common Multiple skill assessments:

Problem 1Difficulty: Mastery
One exercise repeats every 72 counts and another repeats every 96 counts. What is the smallest number of counts where both patterns line up?
A24 counts
B288 counts
C96 counts
D168 counts
Solution & Explanation:Find the least common multiple of 72 and 96. The first common multiple is 288, so both events happen together again after 288 counts.
Problem 2Difficulty: Mastery
What is the least common multiple (LCM) of 126 and 140?
Solution & Explanation:Find the LCM of 126 and 140. One way: LCM = (126×140) ÷ GCF. The GCF is 14, so LCM = (126×140) ÷ 14 = 1260. That’s the smallest time/size where both patterns match.
Problem 3Difficulty: Mastery
Two machines complete cycles every 70 seconds and 84 seconds. What is the least number of seconds until both cycles finish at the same time?
A420 seconds
B84 seconds
C154 seconds
D14 seconds
Solution & Explanation:Find the least common multiple of 70 and 84. The first common multiple is 420, so both events happen together again after 420 seconds.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 5.30 Least Common Multiple worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 5.30 Least Common Multiple worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 5.30 Least Common Multiple online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 5.30 Least Common Multiple interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 5 Math students. It aligns with educational standard 5.30 (Least Common Multiple).

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