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LCM of 520, 858, 683, 683

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


Find the LCM of 520, 858, 683, 683 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, 858, 683, 683. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,858,683,683

Given numbers are 520,858,683,683

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

The LCM of 520,858,683,683 is 11720280.

Find LCM of 520,858,683,683 with Prime Factorization


2 520, 858, 683, 683
13 260, 429, 683, 683
683 20, 33, 683, 683
20, 33, 1, 1

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

2 x 13 x 683 x 20 x 33 x 1 x 1 = 11720280

Therefore, the lowest common multiple of 520,858,683,683 is 11720280.

LCM Formula to Find Lowest Common Multiple of 520,858,683,683

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 858 x 683 x 683 = 208128732240

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

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

683 : 1, 683

683 : 1, 683

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,858,683,683, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

858:2x 3x 11x 13

683:683

683:683

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

2x 13x 683 = 17758

Therefore, the value for common factors is 17758.

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 = 208128732240/(1x17758)

LCM = 208128732240/17758

LCM = 11720280

Thus, we can understand that the LCM of 520,858,683,683 is 11720280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 858, 683, 683

1. What is the LCM of 520, 858, 683, 683?

Answer: LCM of 520, 858, 683, 683 is 11720280.

2. How to calculate the LCM of 520, 858, 683, 683?

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, 858, 683, 683.

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}.