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LCM of 323, 671, 935, 553

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


Find the LCM of 323, 671, 935, 553 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 323, 671, 935, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,671,935,553

Given numbers are 323,671,935,553

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

The LCM of 323,671,935,553 is 599266745.

Find LCM of 323,671,935,553 with Prime Factorization


11 323, 671, 935, 553
17 323, 61, 85, 553
19, 61, 5, 553

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

11 x 17 x 19 x 61 x 5 x 553 = 599266745

Therefore, the lowest common multiple of 323,671,935,553 is 599266745.

LCM Formula to Find Lowest Common Multiple of 323,671,935,553

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.

323 x 671 x 935 x 553 = 112062881315

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.

323 : 1, 17, 19, 323

671 : 1, 11, 61, 671

935 : 1, 5, 11, 17, 55, 85, 187, 935

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,671,935,553, is 1.

Now, the common factors can be found like this.

323:17x 19

671:11x 61

935:5x 11x 17

553:7x 79

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 112062881315/(1x187)

LCM = 112062881315/187

LCM = 599266745

Thus, we can understand that the LCM of 323,671,935,553 is 599266745.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 671, 935, 553

1. What is the LCM of 323, 671, 935, 553?

Answer: LCM of 323, 671, 935, 553 is 599266745.

2. How to calculate the LCM of 323, 671, 935, 553?

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 323, 671, 935, 553.

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}.