LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 5467, 6743

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 5467, 6743 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 5467, 6743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5467,6743

Given numbers are 5467,6743

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 5467,6743 is 3351271.

Find LCM of 5467,6743 with Prime Factorization


11 5467, 6743
497, 613

Multiply the prime numbers at the bottom and the left side.

11 x 497 x 613 = 3351271

Therefore, the lowest common multiple of 5467,6743 is 3351271.

LCM Formula to Find Lowest Common Multiple of 5467,6743

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

5467 x 6743 = 36863981

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

5467 : 1, 7, 11, 71, 77, 497, 781, 5467

6743 : 1, 11, 613, 6743

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5467,6743, is 11.

Now, the common factors can be found like this.

5467:7x 11x 71

6743:11x 613

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 36863981/(11x1)

LCM = 36863981/11

LCM = 3351271

Thus, we can understand that the LCM of 5467,6743 is 3351271.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 5467, 6743

1. What is the LCM of 5467, 6743?

Answer: LCM of 5467, 6743 is 3351271.

2. How to calculate the LCM of 5467, 6743?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 5467, 6743.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.