Find the LCM of 682, 893, 438, 330, 841 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 682, 893, 438, 330, 841. So, keep reading to learn more.
Given numbers are 682,893,438,330,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,893,438,330,841 is 560848998270.
Find LCM of 682,893,438,330,841 with Prime Factorization
2 | 682, 893, 438, 330, 841 |
3 | 341, 893, 219, 165, 841 |
11 | 341, 893, 73, 55, 841 |
31, 893, 73, 5, 841 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 893 x 73 x 5 x 841 = 560848998270
Therefore, the lowest common multiple of 682,893,438,330,841 is 560848998270.
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.
682 x 893 x 438 x 330 x 841 = 74032067771640
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
893 : 1, 19, 47, 893
438 : 1, 2, 3, 6, 73, 146, 219, 438
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,893,438,330,841, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
893:19x 47
438:2x 3x 73
330:2x 3x 5x 11
841:29x 29
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 74032067771640/(1x132)
LCM = 74032067771640/132
LCM = 560848998270
Thus, we can understand that the LCM of 682,893,438,330,841 is 560848998270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 893, 438, 330, 841?
Answer: LCM of 682, 893, 438, 330, 841 is 560848998270.
2. How to calculate the LCM of 682, 893, 438, 330, 841?
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 682, 893, 438, 330, 841.
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}.