Find the LCM of 879, 931, 622, 330, 382 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 879, 931, 622, 330, 382. So, keep reading to learn more.
Given numbers are 879,931,622,330,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,931,622,330,382 is 5347182384390.
Find LCM of 879,931,622,330,382 with Prime Factorization
2 | 879, 931, 622, 330, 382 |
3 | 879, 931, 311, 165, 191 |
293, 931, 311, 55, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 931 x 311 x 55 x 191 = 5347182384390
Therefore, the lowest common multiple of 879,931,622,330,382 is 5347182384390.
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.
879 x 931 x 622 x 330 x 382 = 64166188612680
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.
879 : 1, 3, 293, 879
931 : 1, 7, 19, 49, 133, 931
622 : 1, 2, 311, 622
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,931,622,330,382, is 1.
Now, the common factors can be found like this.
879:3x 293
931:7x 7x 19
622:2x 311
330:2x 3x 5x 11
382:2x 191
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 3 = 12
Therefore, the value for common factors is 12.
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 = 64166188612680/(1x12)
LCM = 64166188612680/12
LCM = 5347182384390
Thus, we can understand that the LCM of 879,931,622,330,382 is 5347182384390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 879, 931, 622, 330, 382?
Answer: LCM of 879, 931, 622, 330, 382 is 5347182384390.
2. How to calculate the LCM of 879, 931, 622, 330, 382?
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 879, 931, 622, 330, 382.
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}.