LCM of 814, 498, 678, 517, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 498, 678, 517, 452 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 814, 498, 678, 517, 452. So, keep reading to learn more.
Given numbers are 814,498,678,517,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,498,678,517,452 is 2152930692.
Find LCM of 814,498,678,517,452 with Prime Factorization
| 2 | 814, 498, 678, 517, 452 |
| 3 | 407, 249, 339, 517, 226 |
| 11 | 407, 83, 113, 517, 226 |
| 113 | 37, 83, 113, 47, 226 |
| 37, 83, 1, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 113 x 37 x 83 x 1 x 47 x 2 = 2152930692
Therefore, the lowest common multiple of 814,498,678,517,452 is 2152930692.
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.
814 x 498 x 678 x 517 x 452 = 64226228403744
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
498 : 1, 2, 3, 6, 83, 166, 249, 498
678 : 1, 2, 3, 6, 113, 226, 339, 678
517 : 1, 11, 47, 517
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,498,678,517,452, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
498:2x 3x 83
678:2x 3x 113
517:11x 47
452:2x 2x 113
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 3x 11x 113 = 29832
Therefore, the value for common factors is 29832.
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 = 64226228403744/(1x29832)
LCM = 64226228403744/29832
LCM = 2152930692
Thus, we can understand that the LCM of 814,498,678,517,452 is 2152930692.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 498, 678, 517, 452
1. What is the LCM of 814, 498, 678, 517, 452?
Answer: LCM of 814, 498, 678, 517, 452 is 2152930692.
2. How to calculate the LCM of 814, 498, 678, 517, 452?
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 814, 498, 678, 517, 452.
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}.