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LCM of 518, 223, 856, 669, 686

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


Find the LCM of 518, 223, 856, 669, 686 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 518, 223, 856, 669, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,223,856,669,686

Given numbers are 518,223,856,669,686

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

The LCM of 518,223,856,669,686 is 7267678824.

Find LCM of 518,223,856,669,686 with Prime Factorization


2 518, 223, 856, 669, 686
7 259, 223, 428, 669, 343
223 37, 223, 428, 669, 49
37, 1, 428, 3, 49

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

2 x 7 x 223 x 37 x 1 x 428 x 3 x 49 = 7267678824

Therefore, the lowest common multiple of 518,223,856,669,686 is 7267678824.

LCM Formula to Find Lowest Common Multiple of 518,223,856,669,686

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.

518 x 223 x 856 x 669 x 686 = 45379386577056

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.

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

223 : 1, 223

856 : 1, 2, 4, 8, 107, 214, 428, 856

669 : 1, 3, 223, 669

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,223,856,669,686, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

223:223

856:2x 2x 2x 107

669:3x 223

686:2x 7x 7x 7

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 7x 223 = 6244

Therefore, the value for common factors is 6244.

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 = 45379386577056/(1x6244)

LCM = 45379386577056/6244

LCM = 7267678824

Thus, we can understand that the LCM of 518,223,856,669,686 is 7267678824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 223, 856, 669, 686

1. What is the LCM of 518, 223, 856, 669, 686?

Answer: LCM of 518, 223, 856, 669, 686 is 7267678824.

2. How to calculate the LCM of 518, 223, 856, 669, 686?

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 518, 223, 856, 669, 686.

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}.