LCM of 583, 427, 775, 651, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 427, 775, 651, 795 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 583, 427, 775, 651, 795. So, keep reading to learn more.
Given numbers are 583,427,775,651,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,427,775,651,795 is 578787825.
Find LCM of 583,427,775,651,795 with Prime Factorization
| 3 | 583, 427, 775, 651, 795 |
| 5 | 583, 427, 775, 217, 265 |
| 7 | 583, 427, 155, 217, 53 |
| 31 | 583, 61, 155, 31, 53 |
| 53 | 583, 61, 5, 1, 53 |
| 11, 61, 5, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 31 x 53 x 11 x 61 x 5 x 1 x 1 = 578787825
Therefore, the lowest common multiple of 583,427,775,651,795 is 578787825.
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.
583 x 427 x 775 x 651 x 795 = 99849581629875
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.
583 : 1, 11, 53, 583
427 : 1, 7, 61, 427
775 : 1, 5, 25, 31, 155, 775
651 : 1, 3, 7, 21, 31, 93, 217, 651
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,427,775,651,795, is 1.
Now, the common factors can be found like this.
583:11x 53
427:7x 61
775:5x 5x 31
651:3x 7x 31
795:3x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 31x 53 = 172515
Therefore, the value for common factors is 172515.
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 = 99849581629875/(1x172515)
LCM = 99849581629875/172515
LCM = 578787825
Thus, we can understand that the LCM of 583,427,775,651,795 is 578787825.
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FAQs on LCM of 583, 427, 775, 651, 795
1. What is the LCM of 583, 427, 775, 651, 795?
Answer: LCM of 583, 427, 775, 651, 795 is 578787825.
2. How to calculate the LCM of 583, 427, 775, 651, 795?
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 583, 427, 775, 651, 795.
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}.