LCM of 828, 329, 974, 416, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 329, 974, 416, 517 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 828, 329, 974, 416, 517. So, keep reading to learn more.
Given numbers are 828,329,974,416,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,329,974,416,517 is 151768352736.
Find LCM of 828,329,974,416,517 with Prime Factorization
| 2 | 828, 329, 974, 416, 517 |
| 2 | 414, 329, 487, 208, 517 |
| 47 | 207, 329, 487, 104, 517 |
| 207, 7, 487, 104, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 207 x 7 x 487 x 104 x 11 = 151768352736
Therefore, the lowest common multiple of 828,329,974,416,517 is 151768352736.
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.
828 x 329 x 974 x 416 x 517 = 57064900628736
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
329 : 1, 7, 47, 329
974 : 1, 2, 487, 974
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,329,974,416,517, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
329:7x 47
974:2x 487
416:2x 2x 2x 2x 2x 13
517:11x 47
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 47 = 376
Therefore, the value for common factors is 376.
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 = 57064900628736/(1x376)
LCM = 57064900628736/376
LCM = 151768352736
Thus, we can understand that the LCM of 828,329,974,416,517 is 151768352736.
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FAQs on LCM of 828, 329, 974, 416, 517
1. What is the LCM of 828, 329, 974, 416, 517?
Answer: LCM of 828, 329, 974, 416, 517 is 151768352736.
2. How to calculate the LCM of 828, 329, 974, 416, 517?
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 828, 329, 974, 416, 517.
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}.