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LCM of 431, 104, 559, 209

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


Find the LCM of 431, 104, 559, 209 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 431, 104, 559, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,104,559,209

Given numbers are 431,104,559,209

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

The LCM of 431,104,559,209 is 402833288.

Find LCM of 431,104,559,209 with Prime Factorization


13 431, 104, 559, 209
431, 8, 43, 209

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

13 x 431 x 8 x 43 x 209 = 402833288

Therefore, the lowest common multiple of 431,104,559,209 is 402833288.

LCM Formula to Find Lowest Common Multiple of 431,104,559,209

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.

431 x 104 x 559 x 209 = 5236832744

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.

431 : 1, 431

104 : 1, 2, 4, 8, 13, 26, 52, 104

559 : 1, 13, 43, 559

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,104,559,209, is 1.

Now, the common factors can be found like this.

431:431

104:2x 2x 2x 13

559:13x 43

209:11x 19

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

13 = 13

Therefore, the value for common factors is 13.

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 = 5236832744/(1x13)

LCM = 5236832744/13

LCM = 402833288

Thus, we can understand that the LCM of 431,104,559,209 is 402833288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 104, 559, 209

1. What is the LCM of 431, 104, 559, 209?

Answer: LCM of 431, 104, 559, 209 is 402833288.

2. How to calculate the LCM of 431, 104, 559, 209?

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 431, 104, 559, 209.

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}.