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LCM of 559, 969, 731, 256, 679

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


Find the LCM of 559, 969, 731, 256, 679 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, 969, 731, 256, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,969,731,256,679

Given numbers are 559,969,731,256,679

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

The LCM of 559,969,731,256,679 is 94155419904.

Find LCM of 559,969,731,256,679 with Prime Factorization


17 559, 969, 731, 256, 679
43 559, 57, 43, 256, 679
13, 57, 1, 256, 679

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

17 x 43 x 13 x 57 x 1 x 256 x 679 = 94155419904

Therefore, the lowest common multiple of 559,969,731,256,679 is 94155419904.

LCM Formula to Find Lowest Common Multiple of 559,969,731,256,679

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 969 x 731 x 256 x 679 = 68827611949824

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

731 : 1, 17, 43, 731

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,969,731,256,679, is 1.

Now, the common factors can be found like this.

559:13x 43

969:3x 17x 19

731:17x 43

256:2x 2x 2x 2x 2x 2x 2x 2

679:7x 97

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

17x 43 = 731

Therefore, the value for common factors is 731.

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 = 68827611949824/(1x731)

LCM = 68827611949824/731

LCM = 94155419904

Thus, we can understand that the LCM of 559,969,731,256,679 is 94155419904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 969, 731, 256, 679

1. What is the LCM of 559, 969, 731, 256, 679?

Answer: LCM of 559, 969, 731, 256, 679 is 94155419904.

2. How to calculate the LCM of 559, 969, 731, 256, 679?

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, 969, 731, 256, 679.

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}.