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LCM of 259, 143, 659, 403, 115

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


Find the LCM of 259, 143, 659, 403, 115 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 259, 143, 659, 403, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 259,143,659,403,115

Given numbers are 259,143,659,403,115

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

The LCM of 259,143,659,403,115 is 87012320395.

Find LCM of 259,143,659,403,115 with Prime Factorization


13 259, 143, 659, 403, 115
259, 11, 659, 31, 115

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

13 x 259 x 11 x 659 x 31 x 115 = 87012320395

Therefore, the lowest common multiple of 259,143,659,403,115 is 87012320395.

LCM Formula to Find Lowest Common Multiple of 259,143,659,403,115

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.

259 x 143 x 659 x 403 x 115 = 1131160165135

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.

259 : 1, 7, 37, 259

143 : 1, 11, 13, 143

659 : 1, 659

403 : 1, 13, 31, 403

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,143,659,403,115, is 1.

Now, the common factors can be found like this.

259:7x 37

143:11x 13

659:659

403:13x 31

115:5x 23

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 = 1131160165135/(1x13)

LCM = 1131160165135/13

LCM = 87012320395

Thus, we can understand that the LCM of 259,143,659,403,115 is 87012320395.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 259, 143, 659, 403, 115

1. What is the LCM of 259, 143, 659, 403, 115?

Answer: LCM of 259, 143, 659, 403, 115 is 87012320395.

2. How to calculate the LCM of 259, 143, 659, 403, 115?

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 259, 143, 659, 403, 115.

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}.