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LCM of 519, 940, 470, 856

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


Find the LCM of 519, 940, 470, 856 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 519, 940, 470, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 519,940,470,856

Given numbers are 519,940,470,856

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

The LCM of 519,940,470,856 is 104402040.

Find LCM of 519,940,470,856 with Prime Factorization


2 519, 940, 470, 856
2 519, 470, 235, 428
5 519, 235, 235, 214
47 519, 47, 47, 214
519, 1, 1, 214

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

2 x 2 x 5 x 47 x 519 x 1 x 1 x 214 = 104402040

Therefore, the lowest common multiple of 519,940,470,856 is 104402040.

LCM Formula to Find Lowest Common Multiple of 519,940,470,856

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.

519 x 940 x 470 x 856 = 196275835200

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.

519 : 1, 3, 173, 519

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,940,470,856, is 1.

Now, the common factors can be found like this.

519:3x 173

940:2x 2x 5x 47

470:2x 5x 47

856:2x 2x 2x 107

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 5x 47 = 1880

Therefore, the value for common factors is 1880.

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 = 196275835200/(1x1880)

LCM = 196275835200/1880

LCM = 104402040

Thus, we can understand that the LCM of 519,940,470,856 is 104402040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 519, 940, 470, 856

1. What is the LCM of 519, 940, 470, 856?

Answer: LCM of 519, 940, 470, 856 is 104402040.

2. How to calculate the LCM of 519, 940, 470, 856?

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 519, 940, 470, 856.

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}.