Find the LCM of 885, 857, 676, 130, 984 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 885, 857, 676, 130, 984. So, keep reading to learn more.
Given numbers are 885,857,676,130,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,857,676,130,984 is 42042123240.
Find LCM of 885,857,676,130,984 with Prime Factorization
2 | 885, 857, 676, 130, 984 |
2 | 885, 857, 338, 65, 492 |
3 | 885, 857, 169, 65, 246 |
5 | 295, 857, 169, 65, 82 |
13 | 59, 857, 169, 13, 82 |
59, 857, 1, 13, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 59 x 857 x 1 x 13 x 82 = 42042123240
Therefore, the lowest common multiple of 885,857,676,130,984 is 42042123240.
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.
885 x 857 x 676 x 130 x 984 = 65585712254400
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
857 : 1, 857
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
130 : 1, 2, 5, 10, 13, 26, 65, 130
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,857,676,130,984, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
857:857
676:2x 2x 13x 13
130:2x 5x 13
984:2x 2x 2x 3x 41
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 2x 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 65585712254400/(1x1560)
LCM = 65585712254400/1560
LCM = 42042123240
Thus, we can understand that the LCM of 885,857,676,130,984 is 42042123240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 885, 857, 676, 130, 984?
Answer: LCM of 885, 857, 676, 130, 984 is 42042123240.
2. How to calculate the LCM of 885, 857, 676, 130, 984?
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 885, 857, 676, 130, 984.
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}.