Common Multiples Activity - Worksheet

This worksheet is a practical resource for students to explore the concept of multiples and, more specifically, common multiples. The task involves adding the first twelve multiples of given numbers into a Venn diagram to visually organize and identify the common multiples between them. Students are prompted to consider pairs of numbers, such as 3 and 4, 3 and 6, and 4 and 6, and then to extend their thinking to find common multiples shared by all three numbers: 3, 4, and 6.

The exercise encourages pupils to engage with the idea of multiples by listing them out and then determining which are shared between the sets, thereby gaining a clearer understanding of how multiples work. The Venn diagram serves as a helpful tool for students to see the relationships between different sets of multiples and to identify those that are common across two or more sets. This activity is designed to solidify students' grasp on the concept of multiples and common multiples, which are fundamental building blocks in the study of number theory and are particularly relevant when learning about least common multiples and factors.