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LCM of 520, 882, 939, 869, 543

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


Find the LCM of 520, 882, 939, 869, 543 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, 882, 939, 869, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,882,939,869,543

Given numbers are 520,882,939,869,543

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

The LCM of 520,882,939,869,543 is 11289757719240.

Find LCM of 520,882,939,869,543 with Prime Factorization


2 520, 882, 939, 869, 543
3 260, 441, 939, 869, 543
260, 147, 313, 869, 181

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

2 x 3 x 260 x 147 x 313 x 869 x 181 = 11289757719240

Therefore, the lowest common multiple of 520,882,939,869,543 is 11289757719240.

LCM Formula to Find Lowest Common Multiple of 520,882,939,869,543

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 882 x 939 x 869 x 543 = 203215638946320

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

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

939 : 1, 3, 313, 939

869 : 1, 11, 79, 869

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,882,939,869,543, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

882:2x 3x 3x 7x 7

939:3x 313

869:11x 79

543:3x 181

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 203215638946320/(1x18)

LCM = 203215638946320/18

LCM = 11289757719240

Thus, we can understand that the LCM of 520,882,939,869,543 is 11289757719240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 882, 939, 869, 543

1. What is the LCM of 520, 882, 939, 869, 543?

Answer: LCM of 520, 882, 939, 869, 543 is 11289757719240.

2. How to calculate the LCM of 520, 882, 939, 869, 543?

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, 882, 939, 869, 543.

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}.