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LCM of 591, 247, 388, 798, 351

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


Find the LCM of 591, 247, 388, 798, 351 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 591, 247, 388, 798, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,247,388,798,351

Given numbers are 591,247,388,798,351

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

The LCM of 591,247,388,798,351 is 3568261788.

Find LCM of 591,247,388,798,351 with Prime Factorization


2 591, 247, 388, 798, 351
3 591, 247, 194, 399, 351
13 197, 247, 194, 133, 117
19 197, 19, 194, 133, 9
197, 1, 194, 7, 9

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

2 x 3 x 13 x 19 x 197 x 1 x 194 x 7 x 9 = 3568261788

Therefore, the lowest common multiple of 591,247,388,798,351 is 3568261788.

LCM Formula to Find Lowest Common Multiple of 591,247,388,798,351

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.

591 x 247 x 388 x 798 x 351 = 15864491909448

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.

591 : 1, 3, 197, 591

247 : 1, 13, 19, 247

388 : 1, 2, 4, 97, 194, 388

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,247,388,798,351, is 1.

Now, the common factors can be found like this.

591:3x 197

247:13x 19

388:2x 2x 97

798:2x 3x 7x 19

351:3x 3x 3x 13

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

2x 3x 3x 13x 19 = 4446

Therefore, the value for common factors is 4446.

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 = 15864491909448/(1x4446)

LCM = 15864491909448/4446

LCM = 3568261788

Thus, we can understand that the LCM of 591,247,388,798,351 is 3568261788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 247, 388, 798, 351

1. What is the LCM of 591, 247, 388, 798, 351?

Answer: LCM of 591, 247, 388, 798, 351 is 3568261788.

2. How to calculate the LCM of 591, 247, 388, 798, 351?

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 591, 247, 388, 798, 351.

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}.