Least Common Multiple Worksheet
This least common multiple worksheet helps 5th grade students list multiples, circle shared ones, and solve LCM word problems, with an answer key for quick checking.
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About this resource
Description
The least common multiple of two numbers is the smallest number that both of them divide into evenly. This Least Common Multiple Worksheet gives fifth graders a clear, step-by-step way to find it: list the multiples of each number, look for the ones the lists share, and choose the smallest. Finding the LCM strengthens multiplication facts and gets students ready to add and subtract fractions with unlike denominators.
First, students write the first five multiples of two numbers, circle the multiple both lists have in common, and record the least common multiple for four number pairs. Next, they solve two real-world word problems, one about buying hot dogs and buns and one about two buses that share a stop, and decide for themselves that the answer is an LCM. This 5th grade multiplication worksheet fits math centers, homework, small-group review, or a quick check before a fractions unit.
What’s Included
- 1 printable least common multiple worksheet (page 1)
- 4 list-the-multiples problems with an LCM answer line
- 2 real-world LCM word problems with work space
- A complete answer key with the shared multiples circled (page 2)
3 Reasons This Worksheet Helps Kids
First, writing out multiples gives students extra practice with their multiplication facts. Second, circling the shared multiples makes the idea of a common multiple easy to see instead of memorized. Third, the word problems show children when the least common multiple is useful in everyday life, which helps them transfer the skill to new situations.
Ideas for Teachers and Parents
Before handing out the least common multiple worksheet, model one pair on the board using skip counting. Afterward, ask students to invent their own LCM word problem about packs of items or repeating schedules and trade with a partner. Students who finish early can find the LCM of three numbers, such as 3, 4, and 6.
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