How do you find the HCF and LCM using a Venn diagram?

e.g. Find the HCF and LCM of 140 and 120.

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:

What method can we use to find the LCM?

Find the LCM using the prime factors method Find the prime factorization of each number. Write each number as a product of primes, matching primes vertically when possible. Bring down the primes in each column. Multiply the factors to get the LCM.

What is the LCM of 4 and 6 use a Venn diagram?

The LCM of 4 and 6 is 12 .

What is the HCF of 12 and 18?

HCF of 12 and 18 by Prime Factorization As visible, 12 and 18 have common prime factors. Hence, the HCF of 12 and 18 is 2 × 3 = 6.

What is the LCM of 15 and 12?

60
The LCM of 12 and 15 is 60.

What is the LCM of 3 and 4?

12
Answer: LCM of 3 and 4 is 12.

What is the LCM for 6 and 4?

The LCM of 4 and 6 is 12.

What is the HCF of 16 and 24?

8
The HCF of 16 and 24 is 8. To calculate the Highest common factor (HCF) of 16 and 24, we need to factor each number (factors of 16 = 1, 2, 4, 8, 16; factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24) and choose the highest factor that exactly divides both 16 and 24, i.e., 8.

What is the HCF of 18 and 30?

6
GCF of 18 and 30 by Listing Common Factors Therefore, the greatest common factor of 18 and 30 is 6.

How to find HCF and LCM using Venn diagram?

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. Any common factors should be placed in the intersection of the two circles.

What can Venn diagrams be used to calculate?

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 12 and 180. Break the numbers into the product of prime factors using prime factor trees, as before.

How do you find the LCM of a number?

Match each number pair below with its LCM. Here’s a neat little trick: If you know the HCF (which we found in the last question), you can simply multiply the numbers together and then divide by the HCF, in order to reach the LCM. e.g.

How to find HCF and lcm of 24 and 60?

Venn diagram can be used to find the highest common factor and least common multiple of two or more numbers. Find the HCF and LCM of 24 and 60. Here is the shortcut to find HCF and LCM of 24 and 60. That is, using Venn diagram. Venn diagram shown below clearly illustrates, how to find HCF and LCM of 24 and 60 easily.

How to multiply HCF and LCM using Venn diagram?

This process has to be continued until all the prime factors of both 24 and 60 are struck out. Once all the prime factors of both 24 and 60 are struck out, we have to do the following works to get HCF and LCM. H.C.F = Multiply the prime factors which are found in the common region (Intersection part).

What’s the Venn diagram method for 24 and 60?

The first one is for 24 and the second one is for 60. In the prime factors of 24 and 60, strikeout the common factor (which is found in both 24 and 60) and write that one in common region (intersection part) of two circles.

How to find the LCM of 50 and 16?

Find the LCM and HCF of 50 and 16. As both numbers have 2 as a factor, this goes in the middle. The remaining factors go in their respective circles. The LCM is found by multiplying all of the numbers in the Venn diagram together.

How do you find the HCF and LCM using a Venn diagram?