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LCM of 5422, 6790

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


Find the LCM of 5422, 6790 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 5422, 6790. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5422,6790

Given numbers are 5422,6790

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

The LCM of 5422,6790 is 18407690.

Find LCM of 5422,6790 with Prime Factorization


2 5422, 6790
2711, 3395

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

2 x 2711 x 3395 = 18407690

Therefore, the lowest common multiple of 5422,6790 is 18407690.

LCM Formula to Find Lowest Common Multiple of 5422,6790

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.

5422 x 6790 = 36815380

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.

5422 : 1, 2, 2711, 5422

6790 : 1, 2, 5, 7, 10, 14, 35, 70, 97, 194, 485, 679, 970, 1358, 3395, 6790

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5422,6790, is 2.

Now, the common factors can be found like this.

5422:2x 2711

6790:2x 5x 7x 97

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 = 36815380/(2x1)

LCM = 36815380/2

LCM = 18407690

Thus, we can understand that the LCM of 5422,6790 is 18407690.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5422, 6790

1. What is the LCM of 5422, 6790?

Answer: LCM of 5422, 6790 is 18407690.

2. How to calculate the LCM of 5422, 6790?

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 5422, 6790.

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}.