Find the LCM of 775, 214, 324, 160, 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 775, 214, 324, 160, 405. So, keep reading to learn more.
Given numbers are 775,214,324,160,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,214,324,160,405 is 214941600.
Find LCM of 775,214,324,160,405 with Prime Factorization
2 | 775, 214, 324, 160, 405 |
2 | 775, 107, 162, 80, 405 |
3 | 775, 107, 81, 40, 405 |
3 | 775, 107, 27, 40, 135 |
3 | 775, 107, 9, 40, 45 |
3 | 775, 107, 3, 40, 15 |
5 | 775, 107, 1, 40, 5 |
155, 107, 1, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 5 x 155 x 107 x 1 x 8 x 1 = 214941600
Therefore, the lowest common multiple of 775,214,324,160,405 is 214941600.
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.
775 x 214 x 324 x 160 x 405 = 3482053920000
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.
775 : 1, 5, 25, 31, 155, 775
214 : 1, 2, 107, 214
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 775,214,324,160,405, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
214:2x 107
324:2x 2x 3x 3x 3x 3
160:2x 2x 2x 2x 2x 5
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 2x 2x 3x 3x 3x 3x 5x 5 = 16200
Therefore, the value for common factors is 16200.
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 = 3482053920000/(1x16200)
LCM = 3482053920000/16200
LCM = 214941600
Thus, we can understand that the LCM of 775,214,324,160,405 is 214941600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 214, 324, 160, 405?
Answer: LCM of 775, 214, 324, 160, 405 is 214941600.
2. How to calculate the LCM of 775, 214, 324, 160, 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 775, 214, 324, 160, 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}.