**Definition of Venn Diagram**

- A Venn diagram is a diagram that uses circles to illustrate the relationships among sets.

**Examples of Venn Diagram**

- The Venn diagram below shows the number of grade 5 students who scored above 50% on Math, above 50% on Science, and above 50% on both Math and Science.

From the Venn diagram, we learn that 16 students scored above 50% on Math, 21 students scored above 50% on Science, and 6 students scored above 50% on both Math and Science.

**Solved Example on Venn Diagram **

Find the LCM of 14 and 36 using a Venn diagram.

Choices:

A. 256

B. 252

C. 254

D. 250

Correct Answer: B

Solution:

Step 1:14 = 2 ´ 7 36 = 2 ´ 2 ´ 3 ´ 3 [Write the prime factors of 14 and 36.]

Step 2:Represent all the prime factors of 14 and 36 in a Venn diagram.

Step 3:7 ´ 2 ´ 3 ´ 3 ´ 2 = 252 [Multiply all the factors in the Venn diagram.]

Step 4:The LCM of 14 and 36 is 252.

**Related Terms for Venn Diagram**

- Sets