LCM of 199, 519, 339, 466, 643
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 199, 519, 339, 466, 643 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 199, 519, 339, 466, 643. So, keep reading to learn more.
Given numbers are 199,519,339,466,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,519,339,466,643 is 3497001087414.
Find LCM of 199,519,339,466,643 with Prime Factorization
| 3 | 199, 519, 339, 466, 643 |
| 199, 173, 113, 466, 643 |
Multiply the prime numbers at the bottom and the left side.
3 x 199 x 173 x 113 x 466 x 643 = 3497001087414
Therefore, the lowest common multiple of 199,519,339,466,643 is 3497001087414.
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.
199 x 519 x 339 x 466 x 643 = 10491003262242
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.
199 : 1, 199
519 : 1, 3, 173, 519
339 : 1, 3, 113, 339
466 : 1, 2, 233, 466
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,519,339,466,643, is 1.
Now, the common factors can be found like this.
199:199
519:3x 173
339:3x 113
466:2x 233
643:643
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 10491003262242/(1x3)
LCM = 10491003262242/3
LCM = 3497001087414
Thus, we can understand that the LCM of 199,519,339,466,643 is 3497001087414.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 199, 519, 339, 466, 643
1. What is the LCM of 199, 519, 339, 466, 643?
Answer: LCM of 199, 519, 339, 466, 643 is 3497001087414.
2. How to calculate the LCM of 199, 519, 339, 466, 643?
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 199, 519, 339, 466, 643.
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}.