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LCM of 328, 394, 859, 323, 745

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


Find the LCM of 328, 394, 859, 323, 745 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 328, 394, 859, 323, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 328,394,859,323,745

Given numbers are 328,394,859,323,745

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

The LCM of 328,394,859,323,745 is 13356480326440.

Find LCM of 328,394,859,323,745 with Prime Factorization


2 328, 394, 859, 323, 745
164, 197, 859, 323, 745

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

2 x 164 x 197 x 859 x 323 x 745 = 13356480326440

Therefore, the lowest common multiple of 328,394,859,323,745 is 13356480326440.

LCM Formula to Find Lowest Common Multiple of 328,394,859,323,745

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.

328 x 394 x 859 x 323 x 745 = 26712960652880

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.

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

394 : 1, 2, 197, 394

859 : 1, 859

323 : 1, 17, 19, 323

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,394,859,323,745, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

394:2x 197

859:859

323:17x 19

745:5x 149

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

2 = 2

Therefore, the value for common factors is 2.

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 = 26712960652880/(1x2)

LCM = 26712960652880/2

LCM = 13356480326440

Thus, we can understand that the LCM of 328,394,859,323,745 is 13356480326440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 328, 394, 859, 323, 745

1. What is the LCM of 328, 394, 859, 323, 745?

Answer: LCM of 328, 394, 859, 323, 745 is 13356480326440.

2. How to calculate the LCM of 328, 394, 859, 323, 745?

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 328, 394, 859, 323, 745.

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}.