Find the LCM of 381, 529, 394, 812, 788 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 381, 529, 394, 812, 788. So, keep reading to learn more.
Given numbers are 381,529,394,812,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,529,394,812,788 is 32240584236.
Find LCM of 381,529,394,812,788 with Prime Factorization
2 | 381, 529, 394, 812, 788 |
2 | 381, 529, 197, 406, 394 |
197 | 381, 529, 197, 203, 197 |
381, 529, 1, 203, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 197 x 381 x 529 x 1 x 203 x 1 = 32240584236
Therefore, the lowest common multiple of 381,529,394,812,788 is 32240584236.
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.
381 x 529 x 394 x 812 x 788 = 50811160755936
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.
381 : 1, 3, 127, 381
529 : 1, 23, 529
394 : 1, 2, 197, 394
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,529,394,812,788, is 1.
Now, the common factors can be found like this.
381:3x 127
529:23x 23
394:2x 197
812:2x 2x 7x 29
788:2x 2x 197
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 197 = 1576
Therefore, the value for common factors is 1576.
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 = 50811160755936/(1x1576)
LCM = 50811160755936/1576
LCM = 32240584236
Thus, we can understand that the LCM of 381,529,394,812,788 is 32240584236.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 529, 394, 812, 788?
Answer: LCM of 381, 529, 394, 812, 788 is 32240584236.
2. How to calculate the LCM of 381, 529, 394, 812, 788?
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 381, 529, 394, 812, 788.
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}.