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LCM of 523, 879, 218, 903

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


Find the LCM of 523, 879, 218, 903 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 523, 879, 218, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,879,218,903

Given numbers are 523,879,218,903

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

The LCM of 523,879,218,903 is 30165710106.

Find LCM of 523,879,218,903 with Prime Factorization


3 523, 879, 218, 903
523, 293, 218, 301

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

3 x 523 x 293 x 218 x 301 = 30165710106

Therefore, the lowest common multiple of 523,879,218,903 is 30165710106.

LCM Formula to Find Lowest Common Multiple of 523,879,218,903

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.

523 x 879 x 218 x 903 = 90497130318

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.

523 : 1, 523

879 : 1, 3, 293, 879

218 : 1, 2, 109, 218

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,879,218,903, is 1.

Now, the common factors can be found like this.

523:523

879:3x 293

218:2x 109

903:3x 7x 43

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

3 = 3

Therefore, the value for common factors is 3.

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 = 90497130318/(1x3)

LCM = 90497130318/3

LCM = 30165710106

Thus, we can understand that the LCM of 523,879,218,903 is 30165710106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 879, 218, 903

1. What is the LCM of 523, 879, 218, 903?

Answer: LCM of 523, 879, 218, 903 is 30165710106.

2. How to calculate the LCM of 523, 879, 218, 903?

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 523, 879, 218, 903.

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}.