Using a multiplication chart to find common multiples

A multiplication chart is a simple visual tool for comparing number patterns. It helps students see how products grow across rows and columns, making it easier to identify numbers that appear in two or more times tables.

When students learn how to use a multiplication chart to find common multiples, they connect multiplication facts with skip counting. For example, the multiples of 3 are found in the 3s row, while the multiples of 4 appear in the 4s row. Any number found in both rows is a common multiple.

This skill supports later work with factors, lowest common multiples, fractions and problem-solving. It is especially useful when children need a clear visual alternative to memorising every fact.

In Australian classrooms, the method can fit neatly into a short mathematics warm-up during a school term. Whether students are working in a Sydney primary school, a Melbourne homeschool group or a tutoring session using resources from Officeworks, a printed chart gives everyone a shared reference point.

Start with the rows and columns

Begin by showing a standard multiplication grid, usually labelled from 1 to 10 or from 1 to 12. Explain that each row represents a times table. The 2 row shows 2, 4, 6, 8 and so on, while the 5 row shows 5, 10, 15, 20 and so forth.

Ask students to trace across one row and read the products aloud. This reinforces the idea that multiples are the answers created by multiplying a number by whole numbers. For instance, the multiples of 6 are 6 × 1, 6 × 2, 6 × 3 and continuing onwards.

Compare two times tables

Choose two rows and have students mark the products that occur in both. To find common multiples of 3 and 4, students can highlight the 3s row in one colour and the 4s row in another. The overlapping numbers are 12, 24 and 36 within a chart that reaches that far.

For younger learners, begin with familiar tables such as 2 and 5. The first common multiple is 10, followed by 20 and 30. Once children understand the pattern, move to less obvious pairs such as 4 and 6, where the first shared product is 12.

A printable chart can be paired with hands-on practice. For learners who enjoy movement and puzzles, skip-counting mazes provide another way to follow multiples and notice repeated number sequences.

Find the first shared product

The smallest number that appears in both sets is called the lowest common multiple, or LCM. On a multiplication chart, it is usually the first overlapping product when the rows are read from left to right.

For example, compare the 4 and 6 rows. The 4 row contains 4, 8, 12, 16, 20 and 24. The 6 row contains 6, 12, 18, 24 and 30. The first shared value is 12, so 12 is the lowest common multiple of 4 and 6.

Encourage students to explain how they know the answer rather than simply circle it. They might say that 12 is 4 × 3 and 6 × 2. This explanation shows that the child understands the relationship between the chart and multiplication equations.

Extend the chart into number patterns

A chart may stop at 10 × 10 or 12 × 12, but the pattern continues beyond the printed grid. If students need to find common multiples of 8 and 12, they can list the products from each row and continue the sequence mentally or on a whiteboard.

Ask students to look for regular jumps. The multiples of 8 increase by eight, and the multiples of 12 increase by twelve. Their shared values are 24, 48, 72 and so on. This approach helps children see why common multiples repeat at predictable intervals.

Australian students may encounter these ideas through practical contexts such as sharing teams for a school sports day, arranging seats for a class excursion or planning repeated bus departures in Brisbane or Perth. A real situation gives the number pattern a clear purpose.

Use the chart for problem-solving

Once students can identify common multiples, present short word problems. A swimming squad may practise every 4 days while a running club practises every 6 days. If both meet today, after how many days will they meet again? The chart shows that the answer is 12 days.

Another example could involve classroom materials. If pencils are packed in groups of 5 and erasers in groups of 8, students can find a quantity that can be divided evenly into both group sizes. The first shared product, 40, gives the smallest suitable amount.

For additional practice, ask children to write their own problem using two times tables. Partners can solve the problem with a chart, then check the result by writing two multiplication equations. This develops mathematical language alongside calculation skills.

Build confidence through gradual practice

Some students benefit from colour-coding, while others prefer counters, highlighters or a blank multiplication grid. Let learners choose a method that makes the repeated patterns visible. A classroom chart displayed near the whiteboard can support independent work without replacing mental calculation.

Begin with one pair of tables, then introduce three numbers or ask students to find several common multiples. For example, they might search for a number shared by the 2s, 3s and 4s rows. The first answer is 12, with 24 and 36 following afterwards.

Keep practice brief and regular rather than turning every activity into a timed test. Five minutes at the start of a lesson, a quick family game after dinner or a worksheet during a tutoring session can gradually strengthen recall. This suits the varied routines of Australian families, including busy households balancing sport, homework and school travel.

Use printable multiplication charts, quizzes and puzzles from a reliable maths resource library to reinforce the skill across different settings. Teachers, parents and homeschoolers can select activities that match each child’s year level, then return to the chart whenever a new problem involves factors, multiples or equal groups.

Give students a chart, two times tables and a clear purpose for finding their shared products. With repeated practice, they will move from marking overlapping numbers to recognising common multiples quickly and explaining how the pattern works. Explore printable mathematics activities and add this strategy to the next lesson, homework session or small-group practice.