LCM of 323, 351, 755, 559, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 351, 755, 559, 963 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 323, 351, 755, 559, 963. So, keep reading to learn more.
Given numbers are 323,351,755,559,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,351,755,559,963 is 393830025615.
Find LCM of 323,351,755,559,963 with Prime Factorization
| 3 | 323, 351, 755, 559, 963 |
| 3 | 323, 117, 755, 559, 321 |
| 13 | 323, 39, 755, 559, 107 |
| 323, 3, 755, 43, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 323 x 3 x 755 x 43 x 107 = 393830025615
Therefore, the lowest common multiple of 323,351,755,559,963 is 393830025615.
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.
323 x 351 x 755 x 559 x 963 = 46078112996955
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.
323 : 1, 17, 19, 323
351 : 1, 3, 9, 13, 27, 39, 117, 351
755 : 1, 5, 151, 755
559 : 1, 13, 43, 559
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,351,755,559,963, is 1.
Now, the common factors can be found like this.
323:17x 19
351:3x 3x 3x 13
755:5x 151
559:13x 43
963:3x 3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 46078112996955/(1x117)
LCM = 46078112996955/117
LCM = 393830025615
Thus, we can understand that the LCM of 323,351,755,559,963 is 393830025615.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 323, 351, 755, 559, 963
1. What is the LCM of 323, 351, 755, 559, 963?
Answer: LCM of 323, 351, 755, 559, 963 is 393830025615.
2. How to calculate the LCM of 323, 351, 755, 559, 963?
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 323, 351, 755, 559, 963.
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}.