Find the LCM of 317, 629, 381, 397, 666 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, 629, 381, 397, 666. So, keep reading to learn more.
Given numbers are 317,629,381,397,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,629,381,397,666 is 180957522006.
Find LCM of 317,629,381,397,666 with Prime Factorization
3 | 317, 629, 381, 397, 666 |
37 | 317, 629, 127, 397, 222 |
317, 17, 127, 397, 6 |
Multiply the prime numbers at the bottom and the left side.
3 x 37 x 317 x 17 x 127 x 397 x 6 = 180957522006
Therefore, the lowest common multiple of 317,629,381,397,666 is 180957522006.
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 629 x 381 x 397 x 666 = 20086284942666
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
629 : 1, 17, 37, 629
381 : 1, 3, 127, 381
397 : 1, 397
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,629,381,397,666, is 1.
Now, the common factors can be found like this.
317:317
629:17x 37
381:3x 127
397:397
666:2x 3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 37 = 111
Therefore, the value for common factors is 111.
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 = 20086284942666/(1x111)
LCM = 20086284942666/111
LCM = 180957522006
Thus, we can understand that the LCM of 317,629,381,397,666 is 180957522006.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 629, 381, 397, 666?
Answer: LCM of 317, 629, 381, 397, 666 is 180957522006.
2. How to calculate the LCM of 317, 629, 381, 397, 666?
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, 629, 381, 397, 666.
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}.