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LCM of 856, 859, 138, 928

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


Find the LCM of 856, 859, 138, 928 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 856, 859, 138, 928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,859,138,928

Given numbers are 856,859,138,928

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

The LCM of 856,859,138,928 is 5885373216.

Find LCM of 856,859,138,928 with Prime Factorization


2 856, 859, 138, 928
2 428, 859, 69, 464
2 214, 859, 69, 232
107, 859, 69, 116

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

2 x 2 x 2 x 107 x 859 x 69 x 116 = 5885373216

Therefore, the lowest common multiple of 856,859,138,928 is 5885373216.

LCM Formula to Find Lowest Common Multiple of 856,859,138,928

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.

856 x 859 x 138 x 928 = 94165971456

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

859 : 1, 859

138 : 1, 2, 3, 6, 23, 46, 69, 138

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,859,138,928, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

859:859

138:2x 3x 23

928:2x 2x 2x 2x 2x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 94165971456/(1x16)

LCM = 94165971456/16

LCM = 5885373216

Thus, we can understand that the LCM of 856,859,138,928 is 5885373216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 859, 138, 928

1. What is the LCM of 856, 859, 138, 928?

Answer: LCM of 856, 859, 138, 928 is 5885373216.

2. How to calculate the LCM of 856, 859, 138, 928?

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 856, 859, 138, 928.

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}.