LCM of 139, 905, 394, 591, 932
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 905, 394, 591, 932 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 139, 905, 394, 591, 932. So, keep reading to learn more.
Given numbers are 139,905,394,591,932
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,905,394,591,932 is 69289395540.
Find LCM of 139,905,394,591,932 with Prime Factorization
| 2 | 139, 905, 394, 591, 932 |
| 197 | 139, 905, 197, 591, 466 |
| 139, 905, 1, 3, 466 |
Multiply the prime numbers at the bottom and the left side.
2 x 197 x 139 x 905 x 1 x 3 x 466 = 69289395540
Therefore, the lowest common multiple of 139,905,394,591,932 is 69289395540.
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.
139 x 905 x 394 x 591 x 932 = 27300021842760
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.
139 : 1, 139
905 : 1, 5, 181, 905
394 : 1, 2, 197, 394
591 : 1, 3, 197, 591
932 : 1, 2, 4, 233, 466, 932
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,905,394,591,932, is 1.
Now, the common factors can be found like this.
139:139
905:5x 181
394:2x 197
591:3x 197
932:2x 2x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 197 = 394
Therefore, the value for common factors is 394.
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 = 27300021842760/(1x394)
LCM = 27300021842760/394
LCM = 69289395540
Thus, we can understand that the LCM of 139,905,394,591,932 is 69289395540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 139, 905, 394, 591, 932
1. What is the LCM of 139, 905, 394, 591, 932?
Answer: LCM of 139, 905, 394, 591, 932 is 69289395540.
2. How to calculate the LCM of 139, 905, 394, 591, 932?
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 139, 905, 394, 591, 932.
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}.