﻿ Definition and examples Venn diagram | define Venn diagram - Free Math Dictionary Online

# Venn Diagram

## 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

A. 256
B. 252
C. 254
D. 250

#### 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.

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