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LCM of 926, 430, 312, 530

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


Find the LCM of 926, 430, 312, 530 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 926, 430, 312, 530. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,430,312,530

Given numbers are 926,430,312,530

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

The LCM of 926,430,312,530 is 1646076120.

Find LCM of 926,430,312,530 with Prime Factorization


2 926, 430, 312, 530
5 463, 215, 156, 265
463, 43, 156, 53

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

2 x 5 x 463 x 43 x 156 x 53 = 1646076120

Therefore, the lowest common multiple of 926,430,312,530 is 1646076120.

LCM Formula to Find Lowest Common Multiple of 926,430,312,530

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.

926 x 430 x 312 x 530 = 65843044800

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.

926 : 1, 2, 463, 926

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

530 : 1, 2, 5, 10, 53, 106, 265, 530

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,430,312,530, is 2.

Now, the common factors can be found like this.

926:2x 463

430:2x 5x 43

312:2x 2x 2x 3x 13

530:2x 5x 53

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 65843044800/(2x20)

LCM = 65843044800/40

LCM = 1646076120

Thus, we can understand that the LCM of 926,430,312,530 is 1646076120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 430, 312, 530

1. What is the LCM of 926, 430, 312, 530?

Answer: LCM of 926, 430, 312, 530 is 1646076120.

2. How to calculate the LCM of 926, 430, 312, 530?

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 926, 430, 312, 530.

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}.