Find the LCM of 317, 208, 312, 755, 864 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 317, 208, 312, 755, 864. So, keep reading to learn more.
Given numbers are 317,208,312,755,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,208,312,755,864 is 2688210720.
Find LCM of 317,208,312,755,864 with Prime Factorization
2 | 317, 208, 312, 755, 864 |
2 | 317, 104, 156, 755, 432 |
2 | 317, 52, 78, 755, 216 |
2 | 317, 26, 39, 755, 108 |
3 | 317, 13, 39, 755, 54 |
13 | 317, 13, 13, 755, 18 |
317, 1, 1, 755, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 317 x 1 x 1 x 755 x 18 = 2688210720
Therefore, the lowest common multiple of 317,208,312,755,864 is 2688210720.
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.
317 x 208 x 312 x 755 x 864 = 13419547914240
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.
317 : 1, 317
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
755 : 1, 5, 151, 755
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,208,312,755,864, is 1.
Now, the common factors can be found like this.
317:317
208:2x 2x 2x 2x 13
312:2x 2x 2x 3x 13
755:5x 151
864:2x 2x 2x 2x 2x 3x 3x 3
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 2x 2x 2x 2x 3x 13 = 4992
Therefore, the value for common factors is 4992.
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 = 13419547914240/(1x4992)
LCM = 13419547914240/4992
LCM = 2688210720
Thus, we can understand that the LCM of 317,208,312,755,864 is 2688210720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 208, 312, 755, 864?
Answer: LCM of 317, 208, 312, 755, 864 is 2688210720.
2. How to calculate the LCM of 317, 208, 312, 755, 864?
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 317, 208, 312, 755, 864.
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}.