LCM of 323, 405, 162, 702, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 405, 162, 702, 455 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, 405, 162, 702, 455. So, keep reading to learn more.
Given numbers are 323,405,162,702,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,405,162,702,455 is 23808330.
Find LCM of 323,405,162,702,455 with Prime Factorization
| 2 | 323, 405, 162, 702, 455 |
| 3 | 323, 405, 81, 351, 455 |
| 3 | 323, 135, 27, 117, 455 |
| 3 | 323, 45, 9, 39, 455 |
| 3 | 323, 15, 3, 13, 455 |
| 5 | 323, 5, 1, 13, 455 |
| 13 | 323, 1, 1, 13, 91 |
| 323, 1, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 13 x 323 x 1 x 1 x 1 x 7 = 23808330
Therefore, the lowest common multiple of 323,405,162,702,455 is 23808330.
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 405 x 162 x 702 x 455 = 6768946302300
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
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,405,162,702,455, is 1.
Now, the common factors can be found like this.
323:17x 19
405:3x 3x 3x 3x 5
162:2x 3x 3x 3x 3
702:2x 3x 3x 3x 13
455:5x 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 3x 3x 3x 3x 3x 3x 3x 5x 13 = 284310
Therefore, the value for common factors is 284310.
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 = 6768946302300/(1x284310)
LCM = 6768946302300/284310
LCM = 23808330
Thus, we can understand that the LCM of 323,405,162,702,455 is 23808330.
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FAQs on LCM of 323, 405, 162, 702, 455
1. What is the LCM of 323, 405, 162, 702, 455?
Answer: LCM of 323, 405, 162, 702, 455 is 23808330.
2. How to calculate the LCM of 323, 405, 162, 702, 455?
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, 405, 162, 702, 455.
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}.