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LCM of 559, 520, 841, 404

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


Find the LCM of 559, 520, 841, 404 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 559, 520, 841, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,520,841,404

Given numbers are 559,520,841,404

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

The LCM of 559,520,841,404 is 1899280760.

Find LCM of 559,520,841,404 with Prime Factorization


2 559, 520, 841, 404
2 559, 260, 841, 202
13 559, 130, 841, 101
43, 10, 841, 101

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

2 x 2 x 13 x 43 x 10 x 841 x 101 = 1899280760

Therefore, the lowest common multiple of 559,520,841,404 is 1899280760.

LCM Formula to Find Lowest Common Multiple of 559,520,841,404

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.

559 x 520 x 841 x 404 = 98762599520

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.

559 : 1, 13, 43, 559

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

841 : 1, 29, 841

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,520,841,404, is 1.

Now, the common factors can be found like this.

559:13x 43

520:2x 2x 2x 5x 13

841:29x 29

404:2x 2x 101

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 13 = 52

Therefore, the value for common factors is 52.

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 = 98762599520/(1x52)

LCM = 98762599520/52

LCM = 1899280760

Thus, we can understand that the LCM of 559,520,841,404 is 1899280760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 520, 841, 404

1. What is the LCM of 559, 520, 841, 404?

Answer: LCM of 559, 520, 841, 404 is 1899280760.

2. How to calculate the LCM of 559, 520, 841, 404?

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 559, 520, 841, 404.

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}.