Find the LCM of 428, 309, 309, 365, 627 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 428, 309, 309, 365, 627. So, keep reading to learn more.
Given numbers are 428,309,309,365,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,309,309,365,627 is 10088843820.
Find LCM of 428,309,309,365,627 with Prime Factorization
3 | 428, 309, 309, 365, 627 |
103 | 428, 103, 103, 365, 209 |
428, 1, 1, 365, 209 |
Multiply the prime numbers at the bottom and the left side.
3 x 103 x 428 x 1 x 1 x 365 x 209 = 10088843820
Therefore, the lowest common multiple of 428,309,309,365,627 is 10088843820.
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.
428 x 309 x 309 x 365 x 627 = 9352358221140
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.
428 : 1, 2, 4, 107, 214, 428
309 : 1, 3, 103, 309
309 : 1, 3, 103, 309
365 : 1, 5, 73, 365
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,309,309,365,627, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
309:3x 103
309:3x 103
365:5x 73
627:3x 11x 19
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 103 = 927
Therefore, the value for common factors is 927.
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 = 9352358221140/(1x927)
LCM = 9352358221140/927
LCM = 10088843820
Thus, we can understand that the LCM of 428,309,309,365,627 is 10088843820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 309, 309, 365, 627?
Answer: LCM of 428, 309, 309, 365, 627 is 10088843820.
2. How to calculate the LCM of 428, 309, 309, 365, 627?
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 428, 309, 309, 365, 627.
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}.