LCM of 782, 522, 791, 974, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 522, 791, 974, 819 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 782, 522, 791, 974, 819. So, keep reading to learn more.
Given numbers are 782,522,791,974,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,522,791,974,819 is 1022106281742.
Find LCM of 782,522,791,974,819 with Prime Factorization
| 2 | 782, 522, 791, 974, 819 |
| 3 | 391, 261, 791, 487, 819 |
| 3 | 391, 87, 791, 487, 273 |
| 7 | 391, 29, 791, 487, 91 |
| 391, 29, 113, 487, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 391 x 29 x 113 x 487 x 13 = 1022106281742
Therefore, the lowest common multiple of 782,522,791,974,819 is 1022106281742.
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.
782 x 522 x 791 x 974 x 819 = 257570782998984
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
791 : 1, 7, 113, 791
974 : 1, 2, 487, 974
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,522,791,974,819, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
522:2x 3x 3x 29
791:7x 113
974:2x 487
819:3x 3x 7x 13
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 257570782998984/(1x252)
LCM = 257570782998984/252
LCM = 1022106281742
Thus, we can understand that the LCM of 782,522,791,974,819 is 1022106281742.
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FAQs on LCM of 782, 522, 791, 974, 819
1. What is the LCM of 782, 522, 791, 974, 819?
Answer: LCM of 782, 522, 791, 974, 819 is 1022106281742.
2. How to calculate the LCM of 782, 522, 791, 974, 819?
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 782, 522, 791, 974, 819.
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}.