Find the LCM of 910, 781, 702, 923, 405 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 910, 781, 702, 923, 405. So, keep reading to learn more.
Given numbers are 910,781,702,923,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,781,702,923,405 is 57567510.
Find LCM of 910,781,702,923,405 with Prime Factorization
2 | 910, 781, 702, 923, 405 |
3 | 455, 781, 351, 923, 405 |
3 | 455, 781, 117, 923, 135 |
3 | 455, 781, 39, 923, 45 |
5 | 455, 781, 13, 923, 15 |
13 | 91, 781, 13, 923, 3 |
71 | 7, 781, 1, 71, 3 |
7, 11, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 13 x 71 x 7 x 11 x 1 x 1 x 3 = 57567510
Therefore, the lowest common multiple of 910,781,702,923,405 is 57567510.
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.
910 x 781 x 702 x 923 x 405 = 186503189172300
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
781 : 1, 11, 71, 781
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
923 : 1, 13, 71, 923
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,781,702,923,405, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
781:11x 71
702:2x 3x 3x 3x 13
923:13x 71
405:3x 3x 3x 3x 5
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 3x 5x 13x 13x 71 = 3239730
Therefore, the value for common factors is 3239730.
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 = 186503189172300/(1x3239730)
LCM = 186503189172300/3239730
LCM = 57567510
Thus, we can understand that the LCM of 910,781,702,923,405 is 57567510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 781, 702, 923, 405?
Answer: LCM of 910, 781, 702, 923, 405 is 57567510.
2. How to calculate the LCM of 910, 781, 702, 923, 405?
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 910, 781, 702, 923, 405.
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}.