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LCM of 442, 428, 339, 856

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


Find the LCM of 442, 428, 339, 856 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 442, 428, 339, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,428,339,856

Given numbers are 442,428,339,856

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

The LCM of 442,428,339,856 is 64130664.

Find LCM of 442,428,339,856 with Prime Factorization


2 442, 428, 339, 856
2 221, 214, 339, 428
107 221, 107, 339, 214
221, 1, 339, 2

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

2 x 2 x 107 x 221 x 1 x 339 x 2 = 64130664

Therefore, the lowest common multiple of 442,428,339,856 is 64130664.

LCM Formula to Find Lowest Common Multiple of 442,428,339,856

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.

442 x 428 x 339 x 856 = 54895848384

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

339 : 1, 3, 113, 339

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,428,339,856, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

428:2x 2x 107

339:3x 113

856:2x 2x 2x 107

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 2x 107 = 856

Therefore, the value for common factors is 856.

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 = 54895848384/(1x856)

LCM = 54895848384/856

LCM = 64130664

Thus, we can understand that the LCM of 442,428,339,856 is 64130664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 428, 339, 856

1. What is the LCM of 442, 428, 339, 856?

Answer: LCM of 442, 428, 339, 856 is 64130664.

2. How to calculate the LCM of 442, 428, 339, 856?

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 442, 428, 339, 856.

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}.