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LCM of 596, 756, 867, 671, 934

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


Find the LCM of 596, 756, 867, 671, 934 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 596, 756, 867, 671, 934. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,756,867,671,934

Given numbers are 596,756,867,671,934

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

The LCM of 596,756,867,671,934 is 10201060127412.

Find LCM of 596,756,867,671,934 with Prime Factorization


2 596, 756, 867, 671, 934
2 298, 378, 867, 671, 467
3 149, 189, 867, 671, 467
149, 63, 289, 671, 467

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

2 x 2 x 3 x 149 x 63 x 289 x 671 x 467 = 10201060127412

Therefore, the lowest common multiple of 596,756,867,671,934 is 10201060127412.

LCM Formula to Find Lowest Common Multiple of 596,756,867,671,934

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.

596 x 756 x 867 x 671 x 934 = 244825443057888

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.

596 : 1, 2, 4, 149, 298, 596

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

867 : 1, 3, 17, 51, 289, 867

671 : 1, 11, 61, 671

934 : 1, 2, 467, 934

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,756,867,671,934, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

756:2x 2x 3x 3x 3x 7

867:3x 17x 17

671:11x 61

934:2x 467

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 3 = 24

Therefore, the value for common factors is 24.

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 = 244825443057888/(1x24)

LCM = 244825443057888/24

LCM = 10201060127412

Thus, we can understand that the LCM of 596,756,867,671,934 is 10201060127412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 756, 867, 671, 934

1. What is the LCM of 596, 756, 867, 671, 934?

Answer: LCM of 596, 756, 867, 671, 934 is 10201060127412.

2. How to calculate the LCM of 596, 756, 867, 671, 934?

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 596, 756, 867, 671, 934.

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}.