LCM of 718, 896, 580, 507, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 896, 580, 507, 919 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 718, 896, 580, 507, 919. So, keep reading to learn more.
Given numbers are 718,896,580,507,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,896,580,507,919 is 21731711514240.
Find LCM of 718,896,580,507,919 with Prime Factorization
| 2 | 718, 896, 580, 507, 919 |
| 2 | 359, 448, 290, 507, 919 |
| 359, 224, 145, 507, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 359 x 224 x 145 x 507 x 919 = 21731711514240
Therefore, the lowest common multiple of 718,896,580,507,919 is 21731711514240.
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.
718 x 896 x 580 x 507 x 919 = 173853692113920
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.
718 : 1, 2, 359, 718
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
507 : 1, 3, 13, 39, 169, 507
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,896,580,507,919, is 1.
Now, the common factors can be found like this.
718:2x 359
896:2x 2x 2x 2x 2x 2x 2x 7
580:2x 2x 5x 29
507:3x 13x 13
919:919
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 2 = 8
Therefore, the value for common factors is 8.
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 = 173853692113920/(1x8)
LCM = 173853692113920/8
LCM = 21731711514240
Thus, we can understand that the LCM of 718,896,580,507,919 is 21731711514240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 718, 896, 580, 507, 919
1. What is the LCM of 718, 896, 580, 507, 919?
Answer: LCM of 718, 896, 580, 507, 919 is 21731711514240.
2. How to calculate the LCM of 718, 896, 580, 507, 919?
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 718, 896, 580, 507, 919.
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}.