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LCM of 422, 583, 214, 810

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


Find the LCM of 422, 583, 214, 810 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 422, 583, 214, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,583,214,810

Given numbers are 422,583,214,810

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

The LCM of 422,583,214,810 is 10661536710.

Find LCM of 422,583,214,810 with Prime Factorization


2 422, 583, 214, 810
211, 583, 107, 405

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

2 x 211 x 583 x 107 x 405 = 10661536710

Therefore, the lowest common multiple of 422,583,214,810 is 10661536710.

LCM Formula to Find Lowest Common Multiple of 422,583,214,810

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.

422 x 583 x 214 x 810 = 42646146840

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.

422 : 1, 2, 211, 422

583 : 1, 11, 53, 583

214 : 1, 2, 107, 214

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,583,214,810, is 1.

Now, the common factors can be found like this.

422:2x 211

583:11x 53

214:2x 107

810:2x 3x 3x 3x 3x 5

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 42646146840/(1x4)

LCM = 42646146840/4

LCM = 10661536710

Thus, we can understand that the LCM of 422,583,214,810 is 10661536710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 583, 214, 810

1. What is the LCM of 422, 583, 214, 810?

Answer: LCM of 422, 583, 214, 810 is 10661536710.

2. How to calculate the LCM of 422, 583, 214, 810?

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 422, 583, 214, 810.

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}.