Find the LCM of 813, 629, 555, 551, 765 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 813, 629, 555, 551, 765. So, keep reading to learn more.
Given numbers are 813,629,555,551,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,629,555,551,765 is 4226530905.
Find LCM of 813,629,555,551,765 with Prime Factorization
3 | 813, 629, 555, 551, 765 |
5 | 271, 629, 185, 551, 255 |
17 | 271, 629, 37, 551, 51 |
37 | 271, 37, 37, 551, 3 |
271, 1, 1, 551, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 37 x 271 x 1 x 1 x 551 x 3 = 4226530905
Therefore, the lowest common multiple of 813,629,555,551,765 is 4226530905.
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.
813 x 629 x 555 x 551 x 765 = 119631957266025
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.
813 : 1, 3, 271, 813
629 : 1, 17, 37, 629
555 : 1, 3, 5, 15, 37, 111, 185, 555
551 : 1, 19, 29, 551
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,629,555,551,765, is 1.
Now, the common factors can be found like this.
813:3x 271
629:17x 37
555:3x 5x 37
551:19x 29
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 17x 37 = 28305
Therefore, the value for common factors is 28305.
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 = 119631957266025/(1x28305)
LCM = 119631957266025/28305
LCM = 4226530905
Thus, we can understand that the LCM of 813,629,555,551,765 is 4226530905.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 629, 555, 551, 765?
Answer: LCM of 813, 629, 555, 551, 765 is 4226530905.
2. How to calculate the LCM of 813, 629, 555, 551, 765?
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 813, 629, 555, 551, 765.
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}.