Find the LCM of 813, 408, 170, 105, 777 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, 408, 170, 105, 777. So, keep reading to learn more.
Given numbers are 813,408,170,105,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,408,170,105,777 is 143185560.
Find LCM of 813,408,170,105,777 with Prime Factorization
2 | 813, 408, 170, 105, 777 |
3 | 813, 204, 85, 105, 777 |
5 | 271, 68, 85, 35, 259 |
7 | 271, 68, 17, 7, 259 |
17 | 271, 68, 17, 1, 37 |
271, 4, 1, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 271 x 4 x 1 x 1 x 37 = 143185560
Therefore, the lowest common multiple of 813,408,170,105,777 is 143185560.
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 408 x 170 x 105 x 777 = 4600552042800
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
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
170 : 1, 2, 5, 10, 17, 34, 85, 170
105 : 1, 3, 5, 7, 15, 21, 35, 105
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,408,170,105,777, is 1.
Now, the common factors can be found like this.
813:3x 271
408:2x 2x 2x 3x 17
170:2x 5x 17
105:3x 5x 7
777:3x 7x 37
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 3x 3x 5x 7x 17 = 32130
Therefore, the value for common factors is 32130.
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 = 4600552042800/(1x32130)
LCM = 4600552042800/32130
LCM = 143185560
Thus, we can understand that the LCM of 813,408,170,105,777 is 143185560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 408, 170, 105, 777?
Answer: LCM of 813, 408, 170, 105, 777 is 143185560.
2. How to calculate the LCM of 813, 408, 170, 105, 777?
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, 408, 170, 105, 777.
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}.