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LCM of 430, 327, 862, 506

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


Find the LCM of 430, 327, 862, 506 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 430, 327, 862, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 430,327,862,506

Given numbers are 430,327,862,506

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

The LCM of 430,327,862,506 is 15332536230.

Find LCM of 430,327,862,506 with Prime Factorization


2 430, 327, 862, 506
215, 327, 431, 253

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

2 x 215 x 327 x 431 x 253 = 15332536230

Therefore, the lowest common multiple of 430,327,862,506 is 15332536230.

LCM Formula to Find Lowest Common Multiple of 430,327,862,506

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.

430 x 327 x 862 x 506 = 61330144920

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.

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

327 : 1, 3, 109, 327

862 : 1, 2, 431, 862

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,327,862,506, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

327:3x 109

862:2x 431

506:2x 11x 23

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 = 61330144920/(1x4)

LCM = 61330144920/4

LCM = 15332536230

Thus, we can understand that the LCM of 430,327,862,506 is 15332536230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 430, 327, 862, 506

1. What is the LCM of 430, 327, 862, 506?

Answer: LCM of 430, 327, 862, 506 is 15332536230.

2. How to calculate the LCM of 430, 327, 862, 506?

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 430, 327, 862, 506.

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}.