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LCM of 559, 299, 403, 794

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


Find the LCM of 559, 299, 403, 794 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, 299, 403, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,299,403,794

Given numbers are 559,299,403,794

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

The LCM of 559,299,403,794 is 316462198.

Find LCM of 559,299,403,794 with Prime Factorization


13 559, 299, 403, 794
43, 23, 31, 794

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

13 x 43 x 23 x 31 x 794 = 316462198

Therefore, the lowest common multiple of 559,299,403,794 is 316462198.

LCM Formula to Find Lowest Common Multiple of 559,299,403,794

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 299 x 403 x 794 = 53482111462

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

299 : 1, 13, 23, 299

403 : 1, 13, 31, 403

794 : 1, 2, 397, 794

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,299,403,794, is 1.

Now, the common factors can be found like this.

559:13x 43

299:13x 23

403:13x 31

794:2x 397

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 53482111462/(1x169)

LCM = 53482111462/169

LCM = 316462198

Thus, we can understand that the LCM of 559,299,403,794 is 316462198.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 299, 403, 794

1. What is the LCM of 559, 299, 403, 794?

Answer: LCM of 559, 299, 403, 794 is 316462198.

2. How to calculate the LCM of 559, 299, 403, 794?

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, 299, 403, 794.

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}.