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LCM of 426, 874, 422, 430

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


Find the LCM of 426, 874, 422, 430 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 426, 874, 422, 430. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,874,422,430

Given numbers are 426,874,422,430

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

The LCM of 426,874,422,430 is 8445239130.

Find LCM of 426,874,422,430 with Prime Factorization


2 426, 874, 422, 430
213, 437, 211, 215

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

2 x 213 x 437 x 211 x 215 = 8445239130

Therefore, the lowest common multiple of 426,874,422,430 is 8445239130.

LCM Formula to Find Lowest Common Multiple of 426,874,422,430

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.

426 x 874 x 422 x 430 = 67561913040

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

874 : 1, 2, 19, 23, 38, 46, 437, 874

422 : 1, 2, 211, 422

430 : 1, 2, 5, 10, 43, 86, 215, 430

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,874,422,430, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

874:2x 19x 23

422:2x 211

430:2x 5x 43

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 = 67561913040/(2x4)

LCM = 67561913040/8

LCM = 8445239130

Thus, we can understand that the LCM of 426,874,422,430 is 8445239130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 874, 422, 430

1. What is the LCM of 426, 874, 422, 430?

Answer: LCM of 426, 874, 422, 430 is 8445239130.

2. How to calculate the LCM of 426, 874, 422, 430?

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 426, 874, 422, 430.

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}.