Find the LCM of 920, 466, 374, 969, 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 920, 466, 374, 969, 317. So, keep reading to learn more.
Given numbers are 920,466,374,969,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,466,374,969,317 is 724301647080.
Find LCM of 920,466,374,969,317 with Prime Factorization
2 | 920, 466, 374, 969, 317 |
17 | 460, 233, 187, 969, 317 |
460, 233, 11, 57, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 460 x 233 x 11 x 57 x 317 = 724301647080
Therefore, the lowest common multiple of 920,466,374,969,317 is 724301647080.
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.
920 x 466 x 374 x 969 x 317 = 49252512001440
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
466 : 1, 2, 233, 466
374 : 1, 2, 11, 17, 22, 34, 187, 374
969 : 1, 3, 17, 19, 51, 57, 323, 969
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,466,374,969,317, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
466:2x 233
374:2x 11x 17
969:3x 17x 19
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.
2x 2x 17 = 68
Therefore, the value for common factors is 68.
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 = 49252512001440/(1x68)
LCM = 49252512001440/68
LCM = 724301647080
Thus, we can understand that the LCM of 920,466,374,969,317 is 724301647080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 466, 374, 969, 317?
Answer: LCM of 920, 466, 374, 969, 317 is 724301647080.
2. How to calculate the LCM of 920, 466, 374, 969, 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 920, 466, 374, 969, 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}.