Find the LCM of 786, 303, 284, 284 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 786, 303, 284, 284. So, keep reading to learn more.
Given numbers are 786,303,284,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,303,284,284 is 11272812.
Find LCM of 786,303,284,284 with Prime Factorization
2 | 786, 303, 284, 284 |
2 | 393, 303, 142, 142 |
3 | 393, 303, 71, 71 |
71 | 131, 101, 71, 71 |
131, 101, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 131 x 101 x 1 x 1 = 11272812
Therefore, the lowest common multiple of 786,303,284,284 is 11272812.
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.
786 x 303 x 284 x 284 = 19208871648
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
303 : 1, 3, 101, 303
284 : 1, 2, 4, 71, 142, 284
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,303,284,284, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
303:3x 101
284:2x 2x 71
284:2x 2x 71
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 71 = 1704
Therefore, the value for common factors is 1704.
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 = 19208871648/(1x1704)
LCM = 19208871648/1704
LCM = 11272812
Thus, we can understand that the LCM of 786,303,284,284 is 11272812.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 786, 303, 284, 284?
Answer: LCM of 786, 303, 284, 284 is 11272812.
2. How to calculate the LCM of 786, 303, 284, 284?
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 786, 303, 284, 284.
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}.