Find the LCM of 784, 101, 231, 187, 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 784, 101, 231, 187, 405. So, keep reading to learn more.
Given numbers are 784,101,231,187,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,101,231,187,405 is 5997000240.
Find LCM of 784,101,231,187,405 with Prime Factorization
3 | 784, 101, 231, 187, 405 |
7 | 784, 101, 77, 187, 135 |
11 | 112, 101, 11, 187, 135 |
112, 101, 1, 17, 135 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 112 x 101 x 1 x 17 x 135 = 5997000240
Therefore, the lowest common multiple of 784,101,231,187,405 is 5997000240.
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.
784 x 101 x 231 x 187 x 405 = 1385307055440
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
101 : 1, 101
231 : 1, 3, 7, 11, 21, 33, 77, 231
187 : 1, 11, 17, 187
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 784,101,231,187,405, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
101:101
231:3x 7x 11
187:11x 17
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 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 1385307055440/(1x231)
LCM = 1385307055440/231
LCM = 5997000240
Thus, we can understand that the LCM of 784,101,231,187,405 is 5997000240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 784, 101, 231, 187, 405?
Answer: LCM of 784, 101, 231, 187, 405 is 5997000240.
2. How to calculate the LCM of 784, 101, 231, 187, 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 784, 101, 231, 187, 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}.