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LCM of 430, 516, 408, 725

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


Find the LCM of 430, 516, 408, 725 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, 516, 408, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 430,516,408,725

Given numbers are 430,516,408,725

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

The LCM of 430,516,408,725 is 12719400.

Find LCM of 430,516,408,725 with Prime Factorization


2 430, 516, 408, 725
2 215, 258, 204, 725
3 215, 129, 102, 725
5 215, 43, 34, 725
43 43, 43, 34, 145
1, 1, 34, 145

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

2 x 2 x 3 x 5 x 43 x 1 x 1 x 34 x 145 = 12719400

Therefore, the lowest common multiple of 430,516,408,725 is 12719400.

LCM Formula to Find Lowest Common Multiple of 430,516,408,725

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 516 x 408 x 725 = 65632104000

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,516,408,725, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

516:2x 2x 3x 43

408:2x 2x 2x 3x 17

725:5x 5x 29

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 2x 3x 5x 43 = 5160

Therefore, the value for common factors is 5160.

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 = 65632104000/(1x5160)

LCM = 65632104000/5160

LCM = 12719400

Thus, we can understand that the LCM of 430,516,408,725 is 12719400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 430, 516, 408, 725

1. What is the LCM of 430, 516, 408, 725?

Answer: LCM of 430, 516, 408, 725 is 12719400.

2. How to calculate the LCM of 430, 516, 408, 725?

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, 516, 408, 725.

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}.