LCM of 612, 619, 810, 468, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 619, 810, 468, 831 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 612, 619, 810, 468, 831. So, keep reading to learn more.
Given numbers are 612,619,810,468,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,619,810,468,831 is 61387183260.
Find LCM of 612,619,810,468,831 with Prime Factorization
| 2 | 612, 619, 810, 468, 831 |
| 2 | 306, 619, 405, 234, 831 |
| 3 | 153, 619, 405, 117, 831 |
| 3 | 51, 619, 135, 39, 277 |
| 17, 619, 45, 13, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 619 x 45 x 13 x 277 = 61387183260
Therefore, the lowest common multiple of 612,619,810,468,831 is 61387183260.
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.
612 x 619 x 810 x 468 x 831 = 119336684257440
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
619 : 1, 619
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,619,810,468,831, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
619:619
810:2x 3x 3x 3x 3x 5
468:2x 2x 3x 3x 13
831:3x 277
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 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 119336684257440/(1x1944)
LCM = 119336684257440/1944
LCM = 61387183260
Thus, we can understand that the LCM of 612,619,810,468,831 is 61387183260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 612, 619, 810, 468, 831
1. What is the LCM of 612, 619, 810, 468, 831?
Answer: LCM of 612, 619, 810, 468, 831 is 61387183260.
2. How to calculate the LCM of 612, 619, 810, 468, 831?
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 612, 619, 810, 468, 831.
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}.