Find the LCM of 317, 644, 121, 121 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, 644, 121, 121. So, keep reading to learn more.
Given numbers are 317,644,121,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,644,121,121 is 24701908.
Find LCM of 317,644,121,121 with Prime Factorization
11 | 317, 644, 121, 121 |
11 | 317, 644, 11, 11 |
317, 644, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 11 x 317 x 644 x 1 x 1 = 24701908
Therefore, the lowest common multiple of 317,644,121,121 is 24701908.
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 644 x 121 x 121 = 2988930868
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
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
121 : 1, 11, 121
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,644,121,121, is 1.
Now, the common factors can be found like this.
317:317
644:2x 2x 7x 23
121:11x 11
121:11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 2988930868/(1x121)
LCM = 2988930868/121
LCM = 24701908
Thus, we can understand that the LCM of 317,644,121,121 is 24701908.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 644, 121, 121?
Answer: LCM of 317, 644, 121, 121 is 24701908.
2. How to calculate the LCM of 317, 644, 121, 121?
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, 644, 121, 121.
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}.