LCM of 113, 338, 339, 374, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 338, 339, 374, 957 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 113, 338, 339, 374, 957. So, keep reading to learn more.
Given numbers are 113,338,339,374,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,338,339,374,957 is 621378186.
Find LCM of 113,338,339,374,957 with Prime Factorization
| 2 | 113, 338, 339, 374, 957 |
| 3 | 113, 169, 339, 187, 957 |
| 11 | 113, 169, 113, 187, 319 |
| 113 | 113, 169, 113, 17, 29 |
| 1, 169, 1, 17, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 113 x 1 x 169 x 1 x 17 x 29 = 621378186
Therefore, the lowest common multiple of 113,338,339,374,957 is 621378186.
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.
113 x 338 x 339 x 374 x 957 = 4634238511188
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.
113 : 1, 113
338 : 1, 2, 13, 26, 169, 338
339 : 1, 3, 113, 339
374 : 1, 2, 11, 17, 22, 34, 187, 374
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,338,339,374,957, is 1.
Now, the common factors can be found like this.
113:113
338:2x 13x 13
339:3x 113
374:2x 11x 17
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 113 = 7458
Therefore, the value for common factors is 7458.
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 = 4634238511188/(1x7458)
LCM = 4634238511188/7458
LCM = 621378186
Thus, we can understand that the LCM of 113,338,339,374,957 is 621378186.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 338, 339, 374, 957
1. What is the LCM of 113, 338, 339, 374, 957?
Answer: LCM of 113, 338, 339, 374, 957 is 621378186.
2. How to calculate the LCM of 113, 338, 339, 374, 957?
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 113, 338, 339, 374, 957.
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}.