This video shows how to use prime factors in a Venn Diagram to find the greatest common factor or the lowest common multiple of a pair of composite numbers.. The prime factors of both 495 and 220 can be displayed using prime factor trees. So, the factorisation of 220 is,. 220=2\times2\times5\times11 . and the factorisation of 495 is,. 495=3\times3\times5\times11 . Now, we will draw a Venn diagram with one circle containing the factors of 495 and the other containing the factors of 220.Any prime factors shared by these two numbers are to be placed.
Using Prime Factors Work with a partner. a. Each Venn diagram represents the prime factorizations of two numbers. Identify each pair of numbers. Explain your reasoning. 2 3 3 3 2 2 3 3 5 11 b. Create a Venn diagram that represents the prime factorizations of 36 and 48. c. Repeat part (b) for the remaining number pairs in Exploration 1. d.. Find the Highest Common Factor (HCF) & Lowest Common Multiple (LCM) of 12 & 20. 1) Complete Prime Factorisation for both numbers. 2) Input the Prime Factors into a Venn diagram Shared Factors ) HCF = Product of shared factors 2 × 2 = 4 12 = 2 × 2 × 3 4) LCM = Product of all factors in the diagram 2 × 2 × 3 × 5 = = 2 × 2 × 5