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LCM of 590, 671, 426, 879, 696

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


Find the LCM of 590, 671, 426, 879, 696 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 590, 671, 426, 879, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,671,426,879,696

Given numbers are 590,671,426,879,696

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

The LCM of 590,671,426,879,696 is 2866023485160.

Find LCM of 590,671,426,879,696 with Prime Factorization


2 590, 671, 426, 879, 696
3 295, 671, 213, 879, 348
295, 671, 71, 293, 116

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

2 x 3 x 295 x 671 x 71 x 293 x 116 = 2866023485160

Therefore, the lowest common multiple of 590,671,426,879,696 is 2866023485160.

LCM Formula to Find Lowest Common Multiple of 590,671,426,879,696

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.

590 x 671 x 426 x 879 x 696 = 103176845465760

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

671 : 1, 11, 61, 671

426 : 1, 2, 3, 6, 71, 142, 213, 426

879 : 1, 3, 293, 879

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,671,426,879,696, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

671:11x 61

426:2x 3x 71

879:3x 293

696:2x 2x 2x 3x 29

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 103176845465760/(1x36)

LCM = 103176845465760/36

LCM = 2866023485160

Thus, we can understand that the LCM of 590,671,426,879,696 is 2866023485160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 671, 426, 879, 696

1. What is the LCM of 590, 671, 426, 879, 696?

Answer: LCM of 590, 671, 426, 879, 696 is 2866023485160.

2. How to calculate the LCM of 590, 671, 426, 879, 696?

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 590, 671, 426, 879, 696.

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}.