Find the LCM of 671, 849, 107, 395, 214 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 671, 849, 107, 395, 214. So, keep reading to learn more.
Given numbers are 671,849,107,395,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,849,107,395,214 is 48154965870.
Find LCM of 671,849,107,395,214 with Prime Factorization
107 | 671, 849, 107, 395, 214 |
671, 849, 1, 395, 2 |
Multiply the prime numbers at the bottom and the left side.
107 x 671 x 849 x 1 x 395 x 2 = 48154965870
Therefore, the lowest common multiple of 671,849,107,395,214 is 48154965870.
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.
671 x 849 x 107 x 395 x 214 = 5152581348090
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.
671 : 1, 11, 61, 671
849 : 1, 3, 283, 849
107 : 1, 107
395 : 1, 5, 79, 395
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,849,107,395,214, is 1.
Now, the common factors can be found like this.
671:11x 61
849:3x 283
107:107
395:5x 79
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 5152581348090/(1x107)
LCM = 5152581348090/107
LCM = 48154965870
Thus, we can understand that the LCM of 671,849,107,395,214 is 48154965870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 849, 107, 395, 214?
Answer: LCM of 671, 849, 107, 395, 214 is 48154965870.
2. How to calculate the LCM of 671, 849, 107, 395, 214?
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 671, 849, 107, 395, 214.
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}.