Find the LCM of 904, 339, 950, 872, 973 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 904, 339, 950, 872, 973. So, keep reading to learn more.
Given numbers are 904,339,950,872,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,339,950,872,973 is 136622627400.
Find LCM of 904,339,950,872,973 with Prime Factorization
2 | 904, 339, 950, 872, 973 |
2 | 452, 339, 475, 436, 973 |
2 | 226, 339, 475, 218, 973 |
113 | 113, 339, 475, 109, 973 |
1, 3, 475, 109, 973 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 113 x 1 x 3 x 475 x 109 x 973 = 136622627400
Therefore, the lowest common multiple of 904,339,950,872,973 is 136622627400.
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.
904 x 339 x 950 x 872 x 973 = 247013710339200
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
339 : 1, 3, 113, 339
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
872 : 1, 2, 4, 8, 109, 218, 436, 872
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,339,950,872,973, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
339:3x 113
950:2x 5x 5x 19
872:2x 2x 2x 109
973:7x 139
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 2x 113 = 1808
Therefore, the value for common factors is 1808.
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 = 247013710339200/(1x1808)
LCM = 247013710339200/1808
LCM = 136622627400
Thus, we can understand that the LCM of 904,339,950,872,973 is 136622627400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 339, 950, 872, 973?
Answer: LCM of 904, 339, 950, 872, 973 is 136622627400.
2. How to calculate the LCM of 904, 339, 950, 872, 973?
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 904, 339, 950, 872, 973.
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}.