Find the LCM of 405, 364, 315, 435, 869 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 405, 364, 315, 435, 869. So, keep reading to learn more.
Given numbers are 405,364,315,435,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,364,315,435,869 is 3715131420.
Find LCM of 405,364,315,435,869 with Prime Factorization
3 | 405, 364, 315, 435, 869 |
3 | 135, 364, 105, 145, 869 |
5 | 45, 364, 35, 145, 869 |
7 | 9, 364, 7, 29, 869 |
9, 52, 1, 29, 869 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 9 x 52 x 1 x 29 x 869 = 3715131420
Therefore, the lowest common multiple of 405,364,315,435,869 is 3715131420.
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.
405 x 364 x 315 x 435 x 869 = 17553995959500
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
435 : 1, 3, 5, 15, 29, 87, 145, 435
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,364,315,435,869, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
364:2x 2x 7x 13
315:3x 3x 5x 7
435:3x 5x 29
869:11x 79
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 3x 5x 5x 7 = 4725
Therefore, the value for common factors is 4725.
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 = 17553995959500/(1x4725)
LCM = 17553995959500/4725
LCM = 3715131420
Thus, we can understand that the LCM of 405,364,315,435,869 is 3715131420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 405, 364, 315, 435, 869?
Answer: LCM of 405, 364, 315, 435, 869 is 3715131420.
2. How to calculate the LCM of 405, 364, 315, 435, 869?
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 405, 364, 315, 435, 869.
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}.