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LCM of 432, 923, 893, 878

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


Find the LCM of 432, 923, 893, 878 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, 923, 893, 878. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 432,923,893,878

Given numbers are 432,923,893,878

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

The LCM of 432,923,893,878 is 156315277872.

Find LCM of 432,923,893,878 with Prime Factorization


2 432, 923, 893, 878
216, 923, 893, 439

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

2 x 216 x 923 x 893 x 439 = 156315277872

Therefore, the lowest common multiple of 432,923,893,878 is 156315277872.

LCM Formula to Find Lowest Common Multiple of 432,923,893,878

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 923 x 893 x 878 = 312630555744

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

923 : 1, 13, 71, 923

893 : 1, 19, 47, 893

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,923,893,878, is 1.

Now, the common factors can be found like this.

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

923:13x 71

893:19x 47

878:2x 439

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

2 = 2

Therefore, the value for common factors is 2.

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 = 312630555744/(1x2)

LCM = 312630555744/2

LCM = 156315277872

Thus, we can understand that the LCM of 432,923,893,878 is 156315277872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 432, 923, 893, 878

1. What is the LCM of 432, 923, 893, 878?

Answer: LCM of 432, 923, 893, 878 is 156315277872.

2. How to calculate the LCM of 432, 923, 893, 878?

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, 923, 893, 878.

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}.