Find the LCM of 893, 470, 687, 825, 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 893, 470, 687, 825, 405. So, keep reading to learn more.
Given numbers are 893,470,687,825,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,470,687,825,405 is 9110341350.
Find LCM of 893,470,687,825,405 with Prime Factorization
3 | 893, 470, 687, 825, 405 |
5 | 893, 470, 229, 275, 135 |
47 | 893, 94, 229, 55, 27 |
19, 2, 229, 55, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 47 x 19 x 2 x 229 x 55 x 27 = 9110341350
Therefore, the lowest common multiple of 893,470,687,825,405 is 9110341350.
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.
893 x 470 x 687 x 825 x 405 = 96341859776250
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.
893 : 1, 19, 47, 893
470 : 1, 2, 5, 10, 47, 94, 235, 470
687 : 1, 3, 229, 687
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
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 893,470,687,825,405, is 1.
Now, the common factors can be found like this.
893:19x 47
470:2x 5x 47
687:3x 229
825:3x 5x 5x 11
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.
3x 3x 5x 5x 47 = 10575
Therefore, the value for common factors is 10575.
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 = 96341859776250/(1x10575)
LCM = 96341859776250/10575
LCM = 9110341350
Thus, we can understand that the LCM of 893,470,687,825,405 is 9110341350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 470, 687, 825, 405?
Answer: LCM of 893, 470, 687, 825, 405 is 9110341350.
2. How to calculate the LCM of 893, 470, 687, 825, 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 893, 470, 687, 825, 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}.