Find the LCM of 318, 970, 965, 388, 413 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 318, 970, 965, 388, 413. So, keep reading to learn more.
Given numbers are 318,970,965,388,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,970,965,388,413 is 24587038140.
Find LCM of 318,970,965,388,413 with Prime Factorization
2 | 318, 970, 965, 388, 413 |
5 | 159, 485, 965, 194, 413 |
97 | 159, 97, 193, 194, 413 |
159, 1, 193, 2, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 97 x 159 x 1 x 193 x 2 x 413 = 24587038140
Therefore, the lowest common multiple of 318,970,965,388,413 is 24587038140.
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.
318 x 970 x 965 x 388 x 413 = 47698853991600
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
970 : 1, 2, 5, 10, 97, 194, 485, 970
965 : 1, 5, 193, 965
388 : 1, 2, 4, 97, 194, 388
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,970,965,388,413, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
970:2x 5x 97
965:5x 193
388:2x 2x 97
413:7x 59
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 5x 97 = 1940
Therefore, the value for common factors is 1940.
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 = 47698853991600/(1x1940)
LCM = 47698853991600/1940
LCM = 24587038140
Thus, we can understand that the LCM of 318,970,965,388,413 is 24587038140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 970, 965, 388, 413?
Answer: LCM of 318, 970, 965, 388, 413 is 24587038140.
2. How to calculate the LCM of 318, 970, 965, 388, 413?
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 318, 970, 965, 388, 413.
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}.