LCM of 680, 408, 896, 273, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 408, 896, 273, 578 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 680, 408, 896, 273, 578. So, keep reading to learn more.
Given numbers are 680,408,896,273,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,408,896,273,578 is 50494080.
Find LCM of 680,408,896,273,578 with Prime Factorization
| 2 | 680, 408, 896, 273, 578 |
| 2 | 340, 204, 448, 273, 289 |
| 2 | 170, 102, 224, 273, 289 |
| 3 | 85, 51, 112, 273, 289 |
| 7 | 85, 17, 112, 91, 289 |
| 17 | 85, 17, 16, 13, 289 |
| 5, 1, 16, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 5 x 1 x 16 x 13 x 17 = 50494080
Therefore, the lowest common multiple of 680,408,896,273,578 is 50494080.
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.
680 x 408 x 896 x 273 x 578 = 39225417154560
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
273 : 1, 3, 7, 13, 21, 39, 91, 273
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,408,896,273,578, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
408:2x 2x 2x 3x 17
896:2x 2x 2x 2x 2x 2x 2x 7
273:3x 7x 13
578:2x 17x 17
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 2x 2x 2x 2x 3x 7x 17x 17 = 776832
Therefore, the value for common factors is 776832.
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 = 39225417154560/(1x776832)
LCM = 39225417154560/776832
LCM = 50494080
Thus, we can understand that the LCM of 680,408,896,273,578 is 50494080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 680, 408, 896, 273, 578
1. What is the LCM of 680, 408, 896, 273, 578?
Answer: LCM of 680, 408, 896, 273, 578 is 50494080.
2. How to calculate the LCM of 680, 408, 896, 273, 578?
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 680, 408, 896, 273, 578.
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}.