LCM of 114, 589, 590, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 589, 590, 115 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 114, 589, 590, 115. So, keep reading to learn more.
Given numbers are 114,589,590,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,589,590,115 is 23978190.
Find LCM of 114,589,590,115 with Prime Factorization
| 2 | 114, 589, 590, 115 |
| 5 | 57, 589, 295, 115 |
| 19 | 57, 589, 59, 23 |
| 3, 31, 59, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 3 x 31 x 59 x 23 = 23978190
Therefore, the lowest common multiple of 114,589,590,115 is 23978190.
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.
114 x 589 x 590 x 115 = 4555856100
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
589 : 1, 19, 31, 589
590 : 1, 2, 5, 10, 59, 118, 295, 590
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,589,590,115, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
589:19x 31
590:2x 5x 59
115:5x 23
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 19 = 190
Therefore, the value for common factors is 190.
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 = 4555856100/(1x190)
LCM = 4555856100/190
LCM = 23978190
Thus, we can understand that the LCM of 114,589,590,115 is 23978190.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 114, 589, 590, 115
1. What is the LCM of 114, 589, 590, 115?
Answer: LCM of 114, 589, 590, 115 is 23978190.
2. How to calculate the LCM of 114, 589, 590, 115?
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 114, 589, 590, 115.
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}.