Find the LCM of 317, 622, 992, 280, 624 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 317, 622, 992, 280, 624. So, keep reading to learn more.
Given numbers are 317,622,992,280,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,622,992,280,624 is 133494684960.
Find LCM of 317,622,992,280,624 with Prime Factorization
2 | 317, 622, 992, 280, 624 |
2 | 317, 311, 496, 140, 312 |
2 | 317, 311, 248, 70, 156 |
2 | 317, 311, 124, 35, 78 |
317, 311, 62, 35, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 317 x 311 x 62 x 35 x 39 = 133494684960
Therefore, the lowest common multiple of 317,622,992,280,624 is 133494684960.
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.
317 x 622 x 992 x 280 x 624 = 34174639349760
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.
317 : 1, 317
622 : 1, 2, 311, 622
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,622,992,280,624, is 1.
Now, the common factors can be found like this.
317:317
622:2x 311
992:2x 2x 2x 2x 2x 31
280:2x 2x 2x 5x 7
624:2x 2x 2x 2x 3x 13
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 2x 2x 2x 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 34174639349760/(1x256)
LCM = 34174639349760/256
LCM = 133494684960
Thus, we can understand that the LCM of 317,622,992,280,624 is 133494684960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 622, 992, 280, 624?
Answer: LCM of 317, 622, 992, 280, 624 is 133494684960.
2. How to calculate the LCM of 317, 622, 992, 280, 624?
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 317, 622, 992, 280, 624.
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}.