Find the LCM of 949, 427, 584, 979, 104 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 949, 427, 584, 979, 104. So, keep reading to learn more.
Given numbers are 949,427,584,979,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,427,584,979,104 is 3173706536.
Find LCM of 949,427,584,979,104 with Prime Factorization
2 | 949, 427, 584, 979, 104 |
2 | 949, 427, 292, 979, 52 |
2 | 949, 427, 146, 979, 26 |
13 | 949, 427, 73, 979, 13 |
73 | 73, 427, 73, 979, 1 |
1, 427, 1, 979, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 73 x 1 x 427 x 1 x 979 x 1 = 3173706536
Therefore, the lowest common multiple of 949,427,584,979,104 is 3173706536.
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.
949 x 427 x 584 x 979 x 104 = 24094780021312
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.
949 : 1, 13, 73, 949
427 : 1, 7, 61, 427
584 : 1, 2, 4, 8, 73, 146, 292, 584
979 : 1, 11, 89, 979
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,427,584,979,104, is 1.
Now, the common factors can be found like this.
949:13x 73
427:7x 61
584:2x 2x 2x 73
979:11x 89
104:2x 2x 2x 13
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 13x 73 = 7592
Therefore, the value for common factors is 7592.
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 = 24094780021312/(1x7592)
LCM = 24094780021312/7592
LCM = 3173706536
Thus, we can understand that the LCM of 949,427,584,979,104 is 3173706536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 949, 427, 584, 979, 104?
Answer: LCM of 949, 427, 584, 979, 104 is 3173706536.
2. How to calculate the LCM of 949, 427, 584, 979, 104?
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 949, 427, 584, 979, 104.
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}.