Find the LCM of 786, 199, 393, 831 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, 199, 393, 831. So, keep reading to learn more.
Given numbers are 786,199,393,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,199,393,831 is 43326678.
Find LCM of 786,199,393,831 with Prime Factorization
3 | 786, 199, 393, 831 |
131 | 262, 199, 131, 277 |
2, 199, 1, 277 |
Multiply the prime numbers at the bottom and the left side.
3 x 131 x 2 x 199 x 1 x 277 = 43326678
Therefore, the lowest common multiple of 786,199,393,831 is 43326678.
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 199 x 393 x 831 = 51082153362
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
199 : 1, 199
393 : 1, 3, 131, 393
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,199,393,831, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
199:199
393:3x 131
831:3x 277
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 131 = 1179
Therefore, the value for common factors is 1179.
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 = 51082153362/(1x1179)
LCM = 51082153362/1179
LCM = 43326678
Thus, we can understand that the LCM of 786,199,393,831 is 43326678.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 786, 199, 393, 831?
Answer: LCM of 786, 199, 393, 831 is 43326678.
2. How to calculate the LCM of 786, 199, 393, 831?
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, 199, 393, 831.
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}.