LCM of 391, 476, 598, 417, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 476, 598, 417, 231 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 391, 476, 598, 417, 231. So, keep reading to learn more.
Given numbers are 391,476,598,417,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,476,598,417,231 is 652840188.
Find LCM of 391,476,598,417,231 with Prime Factorization
| 2 | 391, 476, 598, 417, 231 |
| 3 | 391, 238, 299, 417, 231 |
| 7 | 391, 238, 299, 139, 77 |
| 17 | 391, 34, 299, 139, 11 |
| 23 | 23, 2, 299, 139, 11 |
| 1, 2, 13, 139, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 23 x 1 x 2 x 13 x 139 x 11 = 652840188
Therefore, the lowest common multiple of 391,476,598,417,231 is 652840188.
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.
391 x 476 x 598 x 417 x 231 = 10720941567336
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.
391 : 1, 17, 23, 391
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
598 : 1, 2, 13, 23, 26, 46, 299, 598
417 : 1, 3, 139, 417
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,476,598,417,231, is 1.
Now, the common factors can be found like this.
391:17x 23
476:2x 2x 7x 17
598:2x 13x 23
417:3x 139
231:3x 7x 11
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 7x 17x 23 = 16422
Therefore, the value for common factors is 16422.
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 = 10720941567336/(1x16422)
LCM = 10720941567336/16422
LCM = 652840188
Thus, we can understand that the LCM of 391,476,598,417,231 is 652840188.
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FAQs on LCM of 391, 476, 598, 417, 231
1. What is the LCM of 391, 476, 598, 417, 231?
Answer: LCM of 391, 476, 598, 417, 231 is 652840188.
2. How to calculate the LCM of 391, 476, 598, 417, 231?
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 391, 476, 598, 417, 231.
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}.