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LCM of 814, 299, 245, 115, 628

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


Find the LCM of 814, 299, 245, 115, 628 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 814, 299, 245, 115, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,299,245,115,628

Given numbers are 814,299,245,115,628

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

The LCM of 814,299,245,115,628 is 18723684980.

Find LCM of 814,299,245,115,628 with Prime Factorization


2 814, 299, 245, 115, 628
5 407, 299, 245, 115, 314
23 407, 299, 49, 23, 314
407, 13, 49, 1, 314

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

2 x 5 x 23 x 407 x 13 x 49 x 1 x 314 = 18723684980

Therefore, the lowest common multiple of 814,299,245,115,628 is 18723684980.

LCM Formula to Find Lowest Common Multiple of 814,299,245,115,628

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.

814 x 299 x 245 x 115 x 628 = 4306447545400

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

299 : 1, 13, 23, 299

245 : 1, 5, 7, 35, 49, 245

115 : 1, 5, 23, 115

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,299,245,115,628, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

299:13x 23

245:5x 7x 7

115:5x 23

628:2x 2x 157

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

2x 5x 23 = 230

Therefore, the value for common factors is 230.

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 = 4306447545400/(1x230)

LCM = 4306447545400/230

LCM = 18723684980

Thus, we can understand that the LCM of 814,299,245,115,628 is 18723684980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 299, 245, 115, 628

1. What is the LCM of 814, 299, 245, 115, 628?

Answer: LCM of 814, 299, 245, 115, 628 is 18723684980.

2. How to calculate the LCM of 814, 299, 245, 115, 628?

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 814, 299, 245, 115, 628.

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}.