Find the LCM of 939, 629, 822, 502, 289 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 939, 629, 822, 502, 289. So, keep reading to learn more.
Given numbers are 939,629,822,502,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,629,822,502,289 is 690540958698.
Find LCM of 939,629,822,502,289 with Prime Factorization
2 | 939, 629, 822, 502, 289 |
3 | 939, 629, 411, 251, 289 |
17 | 313, 629, 137, 251, 289 |
313, 37, 137, 251, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 313 x 37 x 137 x 251 x 17 = 690540958698
Therefore, the lowest common multiple of 939,629,822,502,289 is 690540958698.
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.
939 x 629 x 822 x 502 x 289 = 70435177787196
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.
939 : 1, 3, 313, 939
629 : 1, 17, 37, 629
822 : 1, 2, 3, 6, 137, 274, 411, 822
502 : 1, 2, 251, 502
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,629,822,502,289, is 1.
Now, the common factors can be found like this.
939:3x 313
629:17x 37
822:2x 3x 137
502:2x 251
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 70435177787196/(1x102)
LCM = 70435177787196/102
LCM = 690540958698
Thus, we can understand that the LCM of 939,629,822,502,289 is 690540958698.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 629, 822, 502, 289?
Answer: LCM of 939, 629, 822, 502, 289 is 690540958698.
2. How to calculate the LCM of 939, 629, 822, 502, 289?
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 939, 629, 822, 502, 289.
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}.