How do you find the HCF and LCM using Venn diagrams?
- Step 1: Find the product of prime factors for both numbers.
- Step 2: Identify the numbers which appear in both lists.
- Step 3: Put these overlapping numbers into the centre of a Venn diagram.
- Step 4: Put the other numbers from the prime factor trees into the Venn diagram:
How do you find the lowest common multiple and the highest common factor?
The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.
How do you find the least common multiple using a Venn diagram?
Step 1: Place the prime factors in the Venn diagram. Step 2: Multiply the factors in the intersection of the circles by the factors that are not in the intersection. 2 × 3 × 5 × 7 Solution: The LCM of 30 and 42 is 210. Draw a Venn diagram in the My Notes space and use it to find the LCM of each set of numbers.
What is the LCM of 12 and 18?
Answer: LCM of 12 and 18 is 36.
What is the GCF of 9w 72?
Detailed Answer: The Greatest Common Factor (GCF) for 9 and 72, notation CGF(9,72), is 9. Explanation: The factors of 9 are 1,3,9; The factors of 72 are 1,2,3,4,6,8,9,12,18,24,36,72.
What is the LCM of 10 15 and 20?
Answer: LCM of 10, 15, and 20 is 60.
How to calculate the highest common factor using a Venn diagram?
Venn diagrams can be used to calculate the highest common factors (HCFs) and lowest common multiples (LCMs) of numbers. Find the HCF and LCM of 24 and 180. Break the numbers into the product of prime factors using prime factor trees, as before. Put each prime factor in the correct place in the Venn diagram.
How to find the LCM in a Venn diagram?
The LCM is found by multiplying together the numbers from all three sections of the circles.
How to find the highest common factor ( HCF )?
Entire lesson (with task on entry and student worksheet) covering how students can use venn diagrams to find the highest common factor (HCF) and lowest common multiple (LCM) of two numbers using Venn Diagrams. Interactive with great demonstrations and mini-whiteboard tasks.
How to find the radius and diameter from a Venn diagram?
Related Posted in Factors, multiples, primes, NumberTagged Factors, Highest common factor, Lowest common multiple, Multiples, Venn diagrams Post navigation Pie charts: Fill in the gaps Finding the radius and diameter from the area of a circle Search for: