LCM of 408, 408, 642, 514, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 408, 642, 514, 289 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 408, 408, 642, 514, 289. So, keep reading to learn more.
Given numbers are 408,408,642,514,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,408,642,514,289 is 190733064.
Find LCM of 408,408,642,514,289 with Prime Factorization
| 2 | 408, 408, 642, 514, 289 |
| 2 | 204, 204, 321, 257, 289 |
| 2 | 102, 102, 321, 257, 289 |
| 3 | 51, 51, 321, 257, 289 |
| 17 | 17, 17, 107, 257, 289 |
| 1, 1, 107, 257, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 1 x 1 x 107 x 257 x 17 = 190733064
Therefore, the lowest common multiple of 408,408,642,514,289 is 190733064.
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.
408 x 408 x 642 x 514 x 289 = 15875094382848
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
642 : 1, 2, 3, 6, 107, 214, 321, 642
514 : 1, 2, 257, 514
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,408,642,514,289, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
408:2x 2x 2x 3x 17
642:2x 3x 107
514:2x 257
289:17x 17
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 2x 2x 2x 3x 3x 17x 17 = 83232
Therefore, the value for common factors is 83232.
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 = 15875094382848/(1x83232)
LCM = 15875094382848/83232
LCM = 190733064
Thus, we can understand that the LCM of 408,408,642,514,289 is 190733064.
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FAQs on LCM of 408, 408, 642, 514, 289
1. What is the LCM of 408, 408, 642, 514, 289?
Answer: LCM of 408, 408, 642, 514, 289 is 190733064.
2. How to calculate the LCM of 408, 408, 642, 514, 289?
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 408, 408, 642, 514, 289.
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}.