LCM of 780, 104, 591, 687, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 104, 591, 687, 614 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 780, 104, 591, 687, 614. So, keep reading to learn more.
Given numbers are 780,104,591,687,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,104,591,687,614 is 21605517960.
Find LCM of 780,104,591,687,614 with Prime Factorization
| 2 | 780, 104, 591, 687, 614 |
| 2 | 390, 52, 591, 687, 307 |
| 3 | 195, 26, 591, 687, 307 |
| 13 | 65, 26, 197, 229, 307 |
| 5, 2, 197, 229, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 5 x 2 x 197 x 229 x 307 = 21605517960
Therefore, the lowest common multiple of 780,104,591,687,614 is 21605517960.
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.
780 x 104 x 591 x 687 x 614 = 20222764810560
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
104 : 1, 2, 4, 8, 13, 26, 52, 104
591 : 1, 3, 197, 591
687 : 1, 3, 229, 687
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,104,591,687,614, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
104:2x 2x 2x 13
591:3x 197
687:3x 229
614:2x 307
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 13 = 936
Therefore, the value for common factors is 936.
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 = 20222764810560/(1x936)
LCM = 20222764810560/936
LCM = 21605517960
Thus, we can understand that the LCM of 780,104,591,687,614 is 21605517960.
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FAQs on LCM of 780, 104, 591, 687, 614
1. What is the LCM of 780, 104, 591, 687, 614?
Answer: LCM of 780, 104, 591, 687, 614 is 21605517960.
2. How to calculate the LCM of 780, 104, 591, 687, 614?
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 780, 104, 591, 687, 614.
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}.