Find the LCM of 510, 819, 629, 347, 908 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 510, 819, 629, 347, 908. So, keep reading to learn more.
Given numbers are 510,819,629,347,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,819,629,347,908 is 811558582380.
Find LCM of 510,819,629,347,908 with Prime Factorization
2 | 510, 819, 629, 347, 908 |
3 | 255, 819, 629, 347, 454 |
17 | 85, 273, 629, 347, 454 |
5, 273, 37, 347, 454 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 5 x 273 x 37 x 347 x 454 = 811558582380
Therefore, the lowest common multiple of 510,819,629,347,908 is 811558582380.
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.
510 x 819 x 629 x 347 x 908 = 82778975402760
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
629 : 1, 17, 37, 629
347 : 1, 347
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,819,629,347,908, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
819:3x 3x 7x 13
629:17x 37
347:347
908:2x 2x 227
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 = 82778975402760/(1x102)
LCM = 82778975402760/102
LCM = 811558582380
Thus, we can understand that the LCM of 510,819,629,347,908 is 811558582380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 819, 629, 347, 908?
Answer: LCM of 510, 819, 629, 347, 908 is 811558582380.
2. How to calculate the LCM of 510, 819, 629, 347, 908?
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 510, 819, 629, 347, 908.
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}.