Find the LCM of 339, 681, 817, 257, 614 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 339, 681, 817, 257, 614. So, keep reading to learn more.
Given numbers are 339,681,817,257,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,681,817,257,614 is 9920855096598.
Find LCM of 339,681,817,257,614 with Prime Factorization
3 | 339, 681, 817, 257, 614 |
113, 227, 817, 257, 614 |
Multiply the prime numbers at the bottom and the left side.
3 x 113 x 227 x 817 x 257 x 614 = 9920855096598
Therefore, the lowest common multiple of 339,681,817,257,614 is 9920855096598.
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.
339 x 681 x 817 x 257 x 614 = 29762565289794
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.
339 : 1, 3, 113, 339
681 : 1, 3, 227, 681
817 : 1, 19, 43, 817
257 : 1, 257
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,681,817,257,614, is 1.
Now, the common factors can be found like this.
339:3x 113
681:3x 227
817:19x 43
257:257
614:2x 307
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 = 29762565289794/(1x3)
LCM = 29762565289794/3
LCM = 9920855096598
Thus, we can understand that the LCM of 339,681,817,257,614 is 9920855096598.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 681, 817, 257, 614?
Answer: LCM of 339, 681, 817, 257, 614 is 9920855096598.
2. How to calculate the LCM of 339, 681, 817, 257, 614?
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 339, 681, 817, 257, 614.
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}.