Find the LCM of 415, 913, 702, 998, 117 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 415, 913, 702, 998, 117. So, keep reading to learn more.
Given numbers are 415,913,702,998,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 415,913,702,998,117 is 1599110370.
Find LCM of 415,913,702,998,117 with Prime Factorization
2 | 415, 913, 702, 998, 117 |
3 | 415, 913, 351, 499, 117 |
3 | 415, 913, 39, 499, 117 |
13 | 415, 913, 13, 499, 39 |
83 | 415, 913, 1, 499, 3 |
5, 11, 1, 499, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 83 x 5 x 11 x 1 x 499 x 3 = 1599110370
Therefore, the lowest common multiple of 415,913,702,998,117 is 1599110370.
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.
415 x 913 x 702 x 998 x 117 = 31057921606140
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.
415 : 1, 5, 83, 415
913 : 1, 11, 83, 913
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
998 : 1, 2, 499, 998
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,913,702,998,117, is 1.
Now, the common factors can be found like this.
415:5x 83
913:11x 83
702:2x 3x 3x 3x 13
998:2x 499
117:3x 3x 13
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 3x 13x 83 = 19422
Therefore, the value for common factors is 19422.
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 = 31057921606140/(1x19422)
LCM = 31057921606140/19422
LCM = 1599110370
Thus, we can understand that the LCM of 415,913,702,998,117 is 1599110370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 415, 913, 702, 998, 117?
Answer: LCM of 415, 913, 702, 998, 117 is 1599110370.
2. How to calculate the LCM of 415, 913, 702, 998, 117?
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 415, 913, 702, 998, 117.
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}.