LCM of 426, 675, 518, 459, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 675, 518, 459, 408 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 426, 675, 518, 459, 408. So, keep reading to learn more.
Given numbers are 426,675,518,459,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,675,518,459,408 is 1688110200.
Find LCM of 426,675,518,459,408 with Prime Factorization
| 2 | 426, 675, 518, 459, 408 |
| 3 | 213, 675, 259, 459, 204 |
| 3 | 71, 225, 259, 153, 68 |
| 3 | 71, 75, 259, 51, 68 |
| 17 | 71, 25, 259, 17, 68 |
| 71, 25, 259, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 71 x 25 x 259 x 1 x 4 = 1688110200
Therefore, the lowest common multiple of 426,675,518,459,408 is 1688110200.
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.
426 x 675 x 518 x 459 x 408 = 27894332944800
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
518 : 1, 2, 7, 14, 37, 74, 259, 518
459 : 1, 3, 9, 17, 27, 51, 153, 459
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,675,518,459,408, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
675:3x 3x 3x 5x 5
518:2x 7x 37
459:3x 3x 3x 17
408:2x 2x 2x 3x 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 3x 3x 3x 3x 3x 17 = 16524
Therefore, the value for common factors is 16524.
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 = 27894332944800/(1x16524)
LCM = 27894332944800/16524
LCM = 1688110200
Thus, we can understand that the LCM of 426,675,518,459,408 is 1688110200.
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FAQs on LCM of 426, 675, 518, 459, 408
1. What is the LCM of 426, 675, 518, 459, 408?
Answer: LCM of 426, 675, 518, 459, 408 is 1688110200.
2. How to calculate the LCM of 426, 675, 518, 459, 408?
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 426, 675, 518, 459, 408.
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}.