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LCM of 430, 529, 422, 728, 190

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


Find the LCM of 430, 529, 422, 728, 190 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, 529, 422, 728, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 430,529,422,728,190

Given numbers are 430,529,422,728,190

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

The LCM of 430,529,422,728,190 is 331941511720.

Find LCM of 430,529,422,728,190 with Prime Factorization


2 430, 529, 422, 728, 190
5 215, 529, 211, 364, 95
43, 529, 211, 364, 19

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

2 x 5 x 43 x 529 x 211 x 364 x 19 = 331941511720

Therefore, the lowest common multiple of 430,529,422,728,190 is 331941511720.

LCM Formula to Find Lowest Common Multiple of 430,529,422,728,190

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 529 x 422 x 728 x 190 = 13277660468800

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

529 : 1, 23, 529

422 : 1, 2, 211, 422

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,529,422,728,190, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

529:23x 23

422:2x 211

728:2x 2x 2x 7x 13

190:2x 5x 19

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 5 = 40

Therefore, the value for common factors is 40.

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 = 13277660468800/(1x40)

LCM = 13277660468800/40

LCM = 331941511720

Thus, we can understand that the LCM of 430,529,422,728,190 is 331941511720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 430, 529, 422, 728, 190

1. What is the LCM of 430, 529, 422, 728, 190?

Answer: LCM of 430, 529, 422, 728, 190 is 331941511720.

2. How to calculate the LCM of 430, 529, 422, 728, 190?

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, 529, 422, 728, 190.

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}.