Find the LCM of 337, 103, 817, 396, 341 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 337, 103, 817, 396, 341. So, keep reading to learn more.
Given numbers are 337,103,817,396,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,103,817,396,341 is 348133696812.
Find LCM of 337,103,817,396,341 with Prime Factorization
11 | 337, 103, 817, 396, 341 |
337, 103, 817, 36, 31 |
Multiply the prime numbers at the bottom and the left side.
11 x 337 x 103 x 817 x 36 x 31 = 348133696812
Therefore, the lowest common multiple of 337,103,817,396,341 is 348133696812.
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.
337 x 103 x 817 x 396 x 341 = 3829470664932
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.
337 : 1, 337
103 : 1, 103
817 : 1, 19, 43, 817
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,103,817,396,341, is 1.
Now, the common factors can be found like this.
337:337
103:103
817:19x 43
396:2x 2x 3x 3x 11
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 3829470664932/(1x11)
LCM = 3829470664932/11
LCM = 348133696812
Thus, we can understand that the LCM of 337,103,817,396,341 is 348133696812.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 337, 103, 817, 396, 341?
Answer: LCM of 337, 103, 817, 396, 341 is 348133696812.
2. How to calculate the LCM of 337, 103, 817, 396, 341?
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 337, 103, 817, 396, 341.
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}.