Find the LCM of 614, 361, 798, 181, 339 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 614, 361, 798, 181, 339. So, keep reading to learn more.
Given numbers are 614,361,798,181,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,361,798,181,339 is 95203274502.
Find LCM of 614,361,798,181,339 with Prime Factorization
2 | 614, 361, 798, 181, 339 |
3 | 307, 361, 399, 181, 339 |
19 | 307, 361, 133, 181, 113 |
307, 19, 7, 181, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 307 x 19 x 7 x 181 x 113 = 95203274502
Therefore, the lowest common multiple of 614,361,798,181,339 is 95203274502.
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.
614 x 361 x 798 x 181 x 339 = 10853173293228
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.
614 : 1, 2, 307, 614
361 : 1, 19, 361
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
181 : 1, 181
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,361,798,181,339, is 1.
Now, the common factors can be found like this.
614:2x 307
361:19x 19
798:2x 3x 7x 19
181:181
339:3x 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 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 10853173293228/(1x114)
LCM = 10853173293228/114
LCM = 95203274502
Thus, we can understand that the LCM of 614,361,798,181,339 is 95203274502.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 614, 361, 798, 181, 339?
Answer: LCM of 614, 361, 798, 181, 339 is 95203274502.
2. How to calculate the LCM of 614, 361, 798, 181, 339?
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 614, 361, 798, 181, 339.
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}.