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LCM of 442, 856, 338, 416, 814

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


Find the LCM of 442, 856, 338, 416, 814 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, 856, 338, 416, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,856,338,416,814

Given numbers are 442,856,338,416,814

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

The LCM of 442,856,338,416,814 is 4003720864.

Find LCM of 442,856,338,416,814 with Prime Factorization


2 442, 856, 338, 416, 814
2 221, 428, 169, 208, 407
2 221, 214, 169, 104, 407
13 221, 107, 169, 52, 407
17, 107, 13, 4, 407

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

2 x 2 x 2 x 13 x 17 x 107 x 13 x 4 x 407 = 4003720864

Therefore, the lowest common multiple of 442,856,338,416,814 is 4003720864.

LCM Formula to Find Lowest Common Multiple of 442,856,338,416,814

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 856 x 338 x 416 x 814 = 43304244865024

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

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

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,856,338,416,814, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

856:2x 2x 2x 107

338:2x 13x 13

416:2x 2x 2x 2x 2x 13

814:2x 11x 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 2x 2x 2x 13x 13 = 5408

Therefore, the value for common factors is 5408.

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 = 43304244865024/(2x5408)

LCM = 43304244865024/10816

LCM = 4003720864

Thus, we can understand that the LCM of 442,856,338,416,814 is 4003720864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 856, 338, 416, 814

1. What is the LCM of 442, 856, 338, 416, 814?

Answer: LCM of 442, 856, 338, 416, 814 is 4003720864.

2. How to calculate the LCM of 442, 856, 338, 416, 814?

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, 856, 338, 416, 814.

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}.