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LCM of 855, 242, 338, 656

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


Find the LCM of 855, 242, 338, 656 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 855, 242, 338, 656. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 855,242,338,656

Given numbers are 855,242,338,656

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

The LCM of 855,242,338,656 is 11469435120.

Find LCM of 855,242,338,656 with Prime Factorization


2 855, 242, 338, 656
855, 121, 169, 328

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

2 x 855 x 121 x 169 x 328 = 11469435120

Therefore, the lowest common multiple of 855,242,338,656 is 11469435120.

LCM Formula to Find Lowest Common Multiple of 855,242,338,656

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.

855 x 242 x 338 x 656 = 45877740480

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

338 : 1, 2, 13, 26, 169, 338

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,242,338,656, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

242:2x 11x 11

338:2x 13x 13

656:2x 2x 2x 2x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 45877740480/(1x4)

LCM = 45877740480/4

LCM = 11469435120

Thus, we can understand that the LCM of 855,242,338,656 is 11469435120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 855, 242, 338, 656

1. What is the LCM of 855, 242, 338, 656?

Answer: LCM of 855, 242, 338, 656 is 11469435120.

2. How to calculate the LCM of 855, 242, 338, 656?

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 855, 242, 338, 656.

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}.