Find the LCM of 394, 232, 638, 935, 994 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 394, 232, 638, 935, 994. So, keep reading to learn more.
Given numbers are 394,232,638,935,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,232,638,935,994 is 21238420280.
Find LCM of 394,232,638,935,994 with Prime Factorization
2 | 394, 232, 638, 935, 994 |
11 | 197, 116, 319, 935, 497 |
29 | 197, 116, 29, 85, 497 |
197, 4, 1, 85, 497 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 197 x 4 x 1 x 85 x 497 = 21238420280
Therefore, the lowest common multiple of 394,232,638,935,994 is 21238420280.
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.
394 x 232 x 638 x 935 x 994 = 54200448554560
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.
394 : 1, 2, 197, 394
232 : 1, 2, 4, 8, 29, 58, 116, 232
638 : 1, 2, 11, 22, 29, 58, 319, 638
935 : 1, 5, 11, 17, 55, 85, 187, 935
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,232,638,935,994, is 1.
Now, the common factors can be found like this.
394:2x 197
232:2x 2x 2x 29
638:2x 11x 29
935:5x 11x 17
994:2x 7x 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 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 54200448554560/(1x2552)
LCM = 54200448554560/2552
LCM = 21238420280
Thus, we can understand that the LCM of 394,232,638,935,994 is 21238420280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 394, 232, 638, 935, 994?
Answer: LCM of 394, 232, 638, 935, 994 is 21238420280.
2. How to calculate the LCM of 394, 232, 638, 935, 994?
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 394, 232, 638, 935, 994.
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}.