Find the LCM of 107, 214, 589, 251, 775 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 107, 214, 589, 251, 775. So, keep reading to learn more.
Given numbers are 107,214,589,251,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,214,589,251,775 is 790938650.
Find LCM of 107,214,589,251,775 with Prime Factorization
31 | 107, 214, 589, 251, 775 |
107 | 107, 214, 19, 251, 25 |
1, 2, 19, 251, 25 |
Multiply the prime numbers at the bottom and the left side.
31 x 107 x 1 x 2 x 19 x 251 x 25 = 790938650
Therefore, the lowest common multiple of 107,214,589,251,775 is 790938650.
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.
107 x 214 x 589 x 251 x 775 = 2623543502050
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.
107 : 1, 107
214 : 1, 2, 107, 214
589 : 1, 19, 31, 589
251 : 1, 251
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,214,589,251,775, is 1.
Now, the common factors can be found like this.
107:107
214:2x 107
589:19x 31
251:251
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31x 107 = 3317
Therefore, the value for common factors is 3317.
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 = 2623543502050/(1x3317)
LCM = 2623543502050/3317
LCM = 790938650
Thus, we can understand that the LCM of 107,214,589,251,775 is 790938650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 214, 589, 251, 775?
Answer: LCM of 107, 214, 589, 251, 775 is 790938650.
2. How to calculate the LCM of 107, 214, 589, 251, 775?
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 107, 214, 589, 251, 775.
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}.