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LCM of 432, 607, 837, 899

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


Find the LCM of 432, 607, 837, 899 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 432, 607, 837, 899. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,607,837,899

Given numbers are 432,607,837,899

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

The LCM of 432,607,837,899 is 235739376.

Find LCM of 432,607,837,899 with Prime Factorization


3 432, 607, 837, 899
3 144, 607, 279, 899
3 48, 607, 93, 899
31 16, 607, 31, 899
16, 607, 1, 29

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

3 x 3 x 3 x 31 x 16 x 607 x 1 x 29 = 235739376

Therefore, the lowest common multiple of 432,607,837,899 is 235739376.

LCM Formula to Find Lowest Common Multiple of 432,607,837,899

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.

432 x 607 x 837 x 899 = 197313857712

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

607 : 1, 607

837 : 1, 3, 9, 27, 31, 93, 279, 837

899 : 1, 29, 31, 899

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,607,837,899, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

607:607

837:3x 3x 3x 31

899:29x 31

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

3x 3x 3x 31 = 837

Therefore, the value for common factors is 837.

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 = 197313857712/(1x837)

LCM = 197313857712/837

LCM = 235739376

Thus, we can understand that the LCM of 432,607,837,899 is 235739376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 607, 837, 899

1. What is the LCM of 432, 607, 837, 899?

Answer: LCM of 432, 607, 837, 899 is 235739376.

2. How to calculate the LCM of 432, 607, 837, 899?

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 432, 607, 837, 899.

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}.