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LCM of 580, 849, 775, 407, 845

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


Find the LCM of 580, 849, 775, 407, 845 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 580, 849, 775, 407, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,849,775,407,845

Given numbers are 580,849,775,407,845

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

The LCM of 580,849,775,407,845 is 5249869353300.

Find LCM of 580,849,775,407,845 with Prime Factorization


5 580, 849, 775, 407, 845
116, 849, 155, 407, 169

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

5 x 116 x 849 x 155 x 407 x 169 = 5249869353300

Therefore, the lowest common multiple of 580,849,775,407,845 is 5249869353300.

LCM Formula to Find Lowest Common Multiple of 580,849,775,407,845

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.

580 x 849 x 775 x 407 x 845 = 131246733832500

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

849 : 1, 3, 283, 849

775 : 1, 5, 25, 31, 155, 775

407 : 1, 11, 37, 407

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,849,775,407,845, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

849:3x 283

775:5x 5x 31

407:11x 37

845:5x 13x 13

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 131246733832500/(1x25)

LCM = 131246733832500/25

LCM = 5249869353300

Thus, we can understand that the LCM of 580,849,775,407,845 is 5249869353300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 580, 849, 775, 407, 845

1. What is the LCM of 580, 849, 775, 407, 845?

Answer: LCM of 580, 849, 775, 407, 845 is 5249869353300.

2. How to calculate the LCM of 580, 849, 775, 407, 845?

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 580, 849, 775, 407, 845.

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}.