Find the LCM of 339, 788, 169, 338, 113 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 339, 788, 169, 338, 113. So, keep reading to learn more.
Given numbers are 339,788,169,338,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,788,169,338,113 is 45145308.
Find LCM of 339,788,169,338,113 with Prime Factorization
2 | 339, 788, 169, 338, 113 |
13 | 339, 394, 169, 169, 113 |
13 | 339, 394, 13, 13, 113 |
113 | 339, 394, 1, 1, 113 |
3, 394, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 113 x 3 x 394 x 1 x 1 x 1 = 45145308
Therefore, the lowest common multiple of 339,788,169,338,113 is 45145308.
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.
339 x 788 x 169 x 338 x 113 = 1724279893752
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.
339 : 1, 3, 113, 339
788 : 1, 2, 4, 197, 394, 788
169 : 1, 13, 169
338 : 1, 2, 13, 26, 169, 338
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,788,169,338,113, is 1.
Now, the common factors can be found like this.
339:3x 113
788:2x 2x 197
169:13x 13
338:2x 13x 13
113:113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13x 113 = 38194
Therefore, the value for common factors is 38194.
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 = 1724279893752/(1x38194)
LCM = 1724279893752/38194
LCM = 45145308
Thus, we can understand that the LCM of 339,788,169,338,113 is 45145308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 788, 169, 338, 113?
Answer: LCM of 339, 788, 169, 338, 113 is 45145308.
2. How to calculate the LCM of 339, 788, 169, 338, 113?
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 339, 788, 169, 338, 113.
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}.