LCM of 379, 799, 187, 205, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 799, 187, 205, 184 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, 799, 187, 205, 184. So, keep reading to learn more.
Given numbers are 379,799,187,205,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,799,187,205,184 is 125646489320.
Find LCM of 379,799,187,205,184 with Prime Factorization
| 17 | 379, 799, 187, 205, 184 |
| 379, 47, 11, 205, 184 |
Multiply the prime numbers at the bottom and the left side.
17 x 379 x 47 x 11 x 205 x 184 = 125646489320
Therefore, the lowest common multiple of 379,799,187,205,184 is 125646489320.
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 799 x 187 x 205 x 184 = 2135990318440
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
799 : 1, 17, 47, 799
187 : 1, 11, 17, 187
205 : 1, 5, 41, 205
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,799,187,205,184, is 1.
Now, the common factors can be found like this.
379:379
799:17x 47
187:11x 17
205:5x 41
184:2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 2135990318440/(1x17)
LCM = 2135990318440/17
LCM = 125646489320
Thus, we can understand that the LCM of 379,799,187,205,184 is 125646489320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 799, 187, 205, 184
1. What is the LCM of 379, 799, 187, 205, 184?
Answer: LCM of 379, 799, 187, 205, 184 is 125646489320.
2. How to calculate the LCM of 379, 799, 187, 205, 184?
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, 799, 187, 205, 184.
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}.