Find the LCM of 702, 889, 455, 864, 115 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 702, 889, 455, 864, 115. So, keep reading to learn more.
Given numbers are 702,889,455,864,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,889,455,864,115 is 1148303520.
Find LCM of 702,889,455,864,115 with Prime Factorization
2 | 702, 889, 455, 864, 115 |
3 | 351, 889, 455, 432, 115 |
3 | 117, 889, 455, 144, 115 |
3 | 39, 889, 455, 48, 115 |
5 | 13, 889, 455, 16, 115 |
7 | 13, 889, 91, 16, 23 |
13 | 13, 127, 13, 16, 23 |
1, 127, 1, 16, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 13 x 1 x 127 x 1 x 16 x 23 = 1148303520
Therefore, the lowest common multiple of 702,889,455,864,115 is 1148303520.
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.
702 x 889 x 455 x 864 x 115 = 28213817486400
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
889 : 1, 7, 127, 889
455 : 1, 5, 7, 13, 35, 65, 91, 455
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
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,889,455,864,115, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
889:7x 127
455:5x 7x 13
864:2x 2x 2x 2x 2x 3x 3x 3
115:5x 23
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 3x 3x 5x 7x 13 = 24570
Therefore, the value for common factors is 24570.
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 = 28213817486400/(1x24570)
LCM = 28213817486400/24570
LCM = 1148303520
Thus, we can understand that the LCM of 702,889,455,864,115 is 1148303520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 889, 455, 864, 115?
Answer: LCM of 702, 889, 455, 864, 115 is 1148303520.
2. How to calculate the LCM of 702, 889, 455, 864, 115?
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 702, 889, 455, 864, 115.
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}.