Find the LCM of 615, 134, 451, 509 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 615, 134, 451, 509. So, keep reading to learn more.
Given numbers are 615,134,451,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,134,451,509 is 461413590.
Find LCM of 615,134,451,509 with Prime Factorization
41 | 615, 134, 451, 509 |
15, 134, 11, 509 |
Multiply the prime numbers at the bottom and the left side.
41 x 15 x 134 x 11 x 509 = 461413590
Therefore, the lowest common multiple of 615,134,451,509 is 461413590.
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.
615 x 134 x 451 x 509 = 18917957190
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
134 : 1, 2, 67, 134
451 : 1, 11, 41, 451
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,134,451,509, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
134:2x 67
451:11x 41
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 18917957190/(1x41)
LCM = 18917957190/41
LCM = 461413590
Thus, we can understand that the LCM of 615,134,451,509 is 461413590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 615, 134, 451, 509?
Answer: LCM of 615, 134, 451, 509 is 461413590.
2. How to calculate the LCM of 615, 134, 451, 509?
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 615, 134, 451, 509.
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}.