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LCM of 520, 819, 285, 833

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


Find the LCM of 520, 819, 285, 833 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 520, 819, 285, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,819,285,833

Given numbers are 520,819,285,833

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

The LCM of 520,819,285,833 is 74070360.

Find LCM of 520,819,285,833 with Prime Factorization


3 520, 819, 285, 833
5 520, 273, 95, 833
7 104, 273, 19, 833
13 104, 39, 19, 119
8, 3, 19, 119

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

3 x 5 x 7 x 13 x 8 x 3 x 19 x 119 = 74070360

Therefore, the lowest common multiple of 520,819,285,833 is 74070360.

LCM Formula to Find Lowest Common Multiple of 520,819,285,833

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.

520 x 819 x 285 x 833 = 101106041400

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

285 : 1, 3, 5, 15, 19, 57, 95, 285

833 : 1, 7, 17, 49, 119, 833

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,819,285,833, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

819:3x 3x 7x 13

285:3x 5x 19

833:7x 7x 17

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

3x 5x 7x 13 = 1365

Therefore, the value for common factors is 1365.

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 = 101106041400/(1x1365)

LCM = 101106041400/1365

LCM = 74070360

Thus, we can understand that the LCM of 520,819,285,833 is 74070360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 819, 285, 833

1. What is the LCM of 520, 819, 285, 833?

Answer: LCM of 520, 819, 285, 833 is 74070360.

2. How to calculate the LCM of 520, 819, 285, 833?

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 520, 819, 285, 833.

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}.