LCM of 580, 187, 615, 418, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 187, 615, 418, 859 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, 187, 615, 418, 859. So, keep reading to learn more.
Given numbers are 580,187,615,418,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,187,615,418,859 is 217731606180.
Find LCM of 580,187,615,418,859 with Prime Factorization
| 2 | 580, 187, 615, 418, 859 |
| 5 | 290, 187, 615, 209, 859 |
| 11 | 58, 187, 123, 209, 859 |
| 58, 17, 123, 19, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 58 x 17 x 123 x 19 x 859 = 217731606180
Therefore, the lowest common multiple of 580,187,615,418,859 is 217731606180.
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 187 x 615 x 418 x 859 = 23950476679800
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
187 : 1, 11, 17, 187
615 : 1, 3, 5, 15, 41, 123, 205, 615
418 : 1, 2, 11, 19, 22, 38, 209, 418
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,187,615,418,859, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
187:11x 17
615:3x 5x 41
418:2x 11x 19
859:859
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 23950476679800/(1x110)
LCM = 23950476679800/110
LCM = 217731606180
Thus, we can understand that the LCM of 580,187,615,418,859 is 217731606180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 580, 187, 615, 418, 859
1. What is the LCM of 580, 187, 615, 418, 859?
Answer: LCM of 580, 187, 615, 418, 859 is 217731606180.
2. How to calculate the LCM of 580, 187, 615, 418, 859?
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, 187, 615, 418, 859.
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}.