LCM of 379, 993, 407, 324, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 993, 407, 324, 331 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 379, 993, 407, 324, 331. So, keep reading to learn more.
Given numbers are 379,993,407,324,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,993,407,324,331 is 16542708732.
Find LCM of 379,993,407,324,331 with Prime Factorization
| 3 | 379, 993, 407, 324, 331 |
| 331 | 379, 331, 407, 108, 331 |
| 379, 1, 407, 108, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 331 x 379 x 1 x 407 x 108 x 1 = 16542708732
Therefore, the lowest common multiple of 379,993,407,324,331 is 16542708732.
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.
379 x 993 x 407 x 324 x 331 = 16426909770876
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.
379 : 1, 379
993 : 1, 3, 331, 993
407 : 1, 11, 37, 407
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,993,407,324,331, is 1.
Now, the common factors can be found like this.
379:379
993:3x 331
407:11x 37
324:2x 2x 3x 3x 3x 3
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 331 = 993
Therefore, the value for common factors is 993.
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 = 16426909770876/(1x993)
LCM = 16426909770876/993
LCM = 16542708732
Thus, we can understand that the LCM of 379,993,407,324,331 is 16542708732.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 379, 993, 407, 324, 331
1. What is the LCM of 379, 993, 407, 324, 331?
Answer: LCM of 379, 993, 407, 324, 331 is 16542708732.
2. How to calculate the LCM of 379, 993, 407, 324, 331?
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 379, 993, 407, 324, 331.
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}.