Find the LCM of 964, 451, 105, 861, 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 964, 451, 105, 861, 214. So, keep reading to learn more.
Given numbers are 964,451,105,861,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,451,105,861,214 is 4884573540.
Find LCM of 964,451,105,861,214 with Prime Factorization
2 | 964, 451, 105, 861, 214 |
3 | 482, 451, 105, 861, 107 |
7 | 482, 451, 35, 287, 107 |
41 | 482, 451, 5, 41, 107 |
482, 11, 5, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 41 x 482 x 11 x 5 x 1 x 107 = 4884573540
Therefore, the lowest common multiple of 964,451,105,861,214 is 4884573540.
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.
964 x 451 x 105 x 861 x 214 = 8411235635880
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.
964 : 1, 2, 4, 241, 482, 964
451 : 1, 11, 41, 451
105 : 1, 3, 5, 7, 15, 21, 35, 105
861 : 1, 3, 7, 21, 41, 123, 287, 861
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,451,105,861,214, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
451:11x 41
105:3x 5x 7
861:3x 7x 41
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.
2x 3x 7x 41 = 1722
Therefore, the value for common factors is 1722.
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 = 8411235635880/(1x1722)
LCM = 8411235635880/1722
LCM = 4884573540
Thus, we can understand that the LCM of 964,451,105,861,214 is 4884573540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 451, 105, 861, 214?
Answer: LCM of 964, 451, 105, 861, 214 is 4884573540.
2. How to calculate the LCM of 964, 451, 105, 861, 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 964, 451, 105, 861, 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}.