LCM of 391, 864, 309, 897, 397
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 864, 309, 897, 397 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, 864, 309, 897, 397. So, keep reading to learn more.
Given numbers are 391,864,309,897,397
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,864,309,897,397 is 179581495392.
Find LCM of 391,864,309,897,397 with Prime Factorization
| 3 | 391, 864, 309, 897, 397 |
| 23 | 391, 288, 103, 299, 397 |
| 17, 288, 103, 13, 397 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 17 x 288 x 103 x 13 x 397 = 179581495392
Therefore, the lowest common multiple of 391,864,309,897,397 is 179581495392.
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 864 x 309 x 897 x 397 = 37173369546144
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
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
309 : 1, 3, 103, 309
897 : 1, 3, 13, 23, 39, 69, 299, 897
397 : 1, 397
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,864,309,897,397, is 1.
Now, the common factors can be found like this.
391:17x 23
864:2x 2x 2x 2x 2x 3x 3x 3
309:3x 103
897:3x 13x 23
397:397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 23 = 207
Therefore, the value for common factors is 207.
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 = 37173369546144/(1x207)
LCM = 37173369546144/207
LCM = 179581495392
Thus, we can understand that the LCM of 391,864,309,897,397 is 179581495392.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 391, 864, 309, 897, 397
1. What is the LCM of 391, 864, 309, 897, 397?
Answer: LCM of 391, 864, 309, 897, 397 is 179581495392.
2. How to calculate the LCM of 391, 864, 309, 897, 397?
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, 864, 309, 897, 397.
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}.