Venn Diagrams to find the HCF and LCM
- Slides: 16
Venn Diagrams to find the HCF and LCM
What’s It All About? You are going to learn: How to find the GCF or the LCM of two or more values using a Venn Diagram. What skills should you have already? You need to be able to write a number as the product of its prime factors.
Example: 24 and 60 Find the GCF and LCM of 24 and 60. Draw factor trees for 24 and 60. 24 2 60 12 2 2 6 2 30 2 3 24 = 2 2 2 3 15 3 5 60 = 2 2 3 5
Example: 24 and 60 24 = 2 2 2 3 60 = 2 2 3 5 Now put this information into a Venn diagram. A Venn diagram is a visual way of representing information. A circle is used to represent each set of information. If some information is in more than one set, the circles will overlap.
Example: 24 and 60 24 = 2 2 2 3 60 = 2 2 3 5 Now put this information into a Venn diagram. The rectangle and the symbol are used to show the universal set – in other words everything possible is contained within this rectangle (as in a universe).
Example: 24 and 60 24 = 2 2 2 3 60 = 2 2 3 5 Now put this information into a Venn diagram. 24 60 2 2 2 3 5
Example: 24 and 60 How can this be used to find the highest common factor? The largest value that is a factor of 24 and 60 is found here: 24 60 2 2 2 3 5 Multiply the prime factors that are in the overlap together to find the GCF: 2 2 3 = 12
Example: 24 and 60 How can this be used to find the lowest common multiple? The smallest value that is a multiple of 24 and 60 is found here: 24 60 2 2 2 3 5 Multiply all the prime factors in the Venn diagram together to find the LCM: 2 2 2 3 5 = 120
Example: 24 and 60 GCF LCM = 120 24 60 2 2 2 3 5 Make sure you understand why this is true…
Your Turn Draw a Venn Diagram and use it to find the GCF and LCM for: 1. 2. 3. 4. 5. 48 and 72 60 and 144 75 and 200 648 and 720 36, 63 and 108
Answers Draw a Venn Diagram and use it to find the HCF and LCM for: 1. 48 and 72 48 72 2 2 3 3 GCF = 24 LCM = 144
Answers Draw a Venn Diagram and use it to find the HCF and LCM for: 2. 60 and 144 60 144 2 5 2 3 2 2 3 GCF = 12 LCM = 720
Answers Draw a Venn Diagram and use it to find the HCF and LCM for: 3. 75 and 200 75 200 3 2 5 5 2 2 GCF = 25 LCM = 600
Answers Draw a Venn Diagram and use it to find the HCF and LCM for: 4. 648 and 720 648 720 3 3 2 2 2 3 3 2 5 GCF = 72 LCM = 6480
Answers Draw a Venn Diagram and use it to find the HCF and LCM for: 5. 36, 63 and 108 36 63 7 3 2 3 108 GCF = 9 LCM = 756
End
- Hcf with venn diagrams
- Sean has 8-inch pieces of toy train
- Hcf and lcm using prime factors worksheet
- How to teach hcf and lcm
- Khan academy least common denominator
- Hcf of 30 and 60
- Hcf and lcm worksheet
- Hcf example
- The interaction diagrams, use case diagrams are called as
- Activity diagram if
- What is a prime expression
- Lcm of 16 24 and 40
- 60 factors
- Lcm of 14 and 21
- Set operations and venn diagrams
- Lesson 4.3 two way tables and venn diagrams
- Set notation venn diagrams worksheet