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LCM of 560, 139, 242, 518

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


Find the LCM of 560, 139, 242, 518 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 560, 139, 242, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,139,242,518

Given numbers are 560,139,242,518

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

The LCM of 560,139,242,518 is 348489680.

Find LCM of 560,139,242,518 with Prime Factorization


2 560, 139, 242, 518
7 280, 139, 121, 259
40, 139, 121, 37

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

2 x 7 x 40 x 139 x 121 x 37 = 348489680

Therefore, the lowest common multiple of 560,139,242,518 is 348489680.

LCM Formula to Find Lowest Common Multiple of 560,139,242,518

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.

560 x 139 x 242 x 518 = 9757711040

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

139 : 1, 139

242 : 1, 2, 11, 22, 121, 242

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,139,242,518, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

139:139

242:2x 11x 11

518:2x 7x 37

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 7 = 28

Therefore, the value for common factors is 28.

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 = 9757711040/(1x28)

LCM = 9757711040/28

LCM = 348489680

Thus, we can understand that the LCM of 560,139,242,518 is 348489680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 139, 242, 518

1. What is the LCM of 560, 139, 242, 518?

Answer: LCM of 560, 139, 242, 518 is 348489680.

2. How to calculate the LCM of 560, 139, 242, 518?

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 560, 139, 242, 518.

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}.