Find the LCM of 317, 888, 389, 218 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, 888, 389, 218. So, keep reading to learn more.
Given numbers are 317,888,389,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,888,389,218 is 11935711896.
Find LCM of 317,888,389,218 with Prime Factorization
2 | 317, 888, 389, 218 |
317, 444, 389, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 444 x 389 x 109 = 11935711896
Therefore, the lowest common multiple of 317,888,389,218 is 11935711896.
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 888 x 389 x 218 = 23871423792
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
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
389 : 1, 389
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,888,389,218, is 1.
Now, the common factors can be found like this.
317:317
888:2x 2x 2x 3x 37
389:389
218:2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 23871423792/(1x2)
LCM = 23871423792/2
LCM = 11935711896
Thus, we can understand that the LCM of 317,888,389,218 is 11935711896.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 888, 389, 218?
Answer: LCM of 317, 888, 389, 218 is 11935711896.
2. How to calculate the LCM of 317, 888, 389, 218?
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, 888, 389, 218.
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}.