Find the LCM of 773, 960, 119, 289, 317 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 773, 960, 119, 289, 317. So, keep reading to learn more.
Given numbers are 773,960,119,289,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,960,119,289,317 is 475889225280.
Find LCM of 773,960,119,289,317 with Prime Factorization
17 | 773, 960, 119, 289, 317 |
773, 960, 7, 17, 317 |
Multiply the prime numbers at the bottom and the left side.
17 x 773 x 960 x 7 x 17 x 317 = 475889225280
Therefore, the lowest common multiple of 773,960,119,289,317 is 475889225280.
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.
773 x 960 x 119 x 289 x 317 = 8090116829760
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.
773 : 1, 773
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
119 : 1, 7, 17, 119
289 : 1, 17, 289
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,960,119,289,317, is 1.
Now, the common factors can be found like this.
773:773
960:2x 2x 2x 2x 2x 2x 3x 5
119:7x 17
289:17x 17
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 8090116829760/(1x17)
LCM = 8090116829760/17
LCM = 475889225280
Thus, we can understand that the LCM of 773,960,119,289,317 is 475889225280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 773, 960, 119, 289, 317?
Answer: LCM of 773, 960, 119, 289, 317 is 475889225280.
2. How to calculate the LCM of 773, 960, 119, 289, 317?
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 773, 960, 119, 289, 317.
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}.