Find the LCM of 357, 187, 963, 856, 808 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 357, 187, 963, 856, 808. So, keep reading to learn more.
Given numbers are 357,187,963,856,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,187,963,856,808 is 1018538136.
Find LCM of 357,187,963,856,808 with Prime Factorization
2 | 357, 187, 963, 856, 808 |
2 | 357, 187, 963, 428, 404 |
2 | 357, 187, 963, 214, 202 |
3 | 357, 187, 963, 107, 101 |
17 | 119, 187, 321, 107, 101 |
107 | 7, 11, 321, 107, 101 |
7, 11, 3, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 107 x 7 x 11 x 3 x 1 x 101 = 1018538136
Therefore, the lowest common multiple of 357,187,963,856,808 is 1018538136.
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.
357 x 187 x 963 x 856 x 808 = 44465300865216
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
187 : 1, 11, 17, 187
963 : 1, 3, 9, 107, 321, 963
856 : 1, 2, 4, 8, 107, 214, 428, 856
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,187,963,856,808, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
187:11x 17
963:3x 3x 107
856:2x 2x 2x 107
808:2x 2x 2x 101
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 3x 17x 107 = 43656
Therefore, the value for common factors is 43656.
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 = 44465300865216/(1x43656)
LCM = 44465300865216/43656
LCM = 1018538136
Thus, we can understand that the LCM of 357,187,963,856,808 is 1018538136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 357, 187, 963, 856, 808?
Answer: LCM of 357, 187, 963, 856, 808 is 1018538136.
2. How to calculate the LCM of 357, 187, 963, 856, 808?
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 357, 187, 963, 856, 808.
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}.