Find the LCM of 492, 428, 451, 996, 389 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 492, 428, 451, 996, 389. So, keep reading to learn more.
Given numbers are 492,428,451,996,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,428,451,996,389 is 18696885108.
Find LCM of 492,428,451,996,389 with Prime Factorization
2 | 492, 428, 451, 996, 389 |
2 | 246, 214, 451, 498, 389 |
3 | 123, 107, 451, 249, 389 |
41 | 41, 107, 451, 83, 389 |
1, 107, 11, 83, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 1 x 107 x 11 x 83 x 389 = 18696885108
Therefore, the lowest common multiple of 492,428,451,996,389 is 18696885108.
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.
492 x 428 x 451 x 996 x 389 = 36795469892544
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
428 : 1, 2, 4, 107, 214, 428
451 : 1, 11, 41, 451
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,428,451,996,389, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
428:2x 2x 107
451:11x 41
996:2x 2x 3x 83
389:389
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 2x 3x 41 = 1968
Therefore, the value for common factors is 1968.
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 = 36795469892544/(1x1968)
LCM = 36795469892544/1968
LCM = 18696885108
Thus, we can understand that the LCM of 492,428,451,996,389 is 18696885108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 428, 451, 996, 389?
Answer: LCM of 492, 428, 451, 996, 389 is 18696885108.
2. How to calculate the LCM of 492, 428, 451, 996, 389?
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 492, 428, 451, 996, 389.
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}.