Find the LCM of 144, 622, 250, 615, 246 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 144, 622, 250, 615, 246. So, keep reading to learn more.
Given numbers are 144,622,250,615,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,622,250,615,246 is 229518000.
Find LCM of 144,622,250,615,246 with Prime Factorization
2 | 144, 622, 250, 615, 246 |
3 | 72, 311, 125, 615, 123 |
5 | 24, 311, 125, 205, 41 |
41 | 24, 311, 25, 41, 41 |
24, 311, 25, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 41 x 24 x 311 x 25 x 1 x 1 = 229518000
Therefore, the lowest common multiple of 144,622,250,615,246 is 229518000.
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.
144 x 622 x 250 x 615 x 246 = 3387685680000
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
622 : 1, 2, 311, 622
250 : 1, 2, 5, 10, 25, 50, 125, 250
615 : 1, 3, 5, 15, 41, 123, 205, 615
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,622,250,615,246, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
622:2x 311
250:2x 5x 5x 5
615:3x 5x 41
246:2x 3x 41
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 3x 3x 5x 41 = 14760
Therefore, the value for common factors is 14760.
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 = 3387685680000/(1x14760)
LCM = 3387685680000/14760
LCM = 229518000
Thus, we can understand that the LCM of 144,622,250,615,246 is 229518000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 144, 622, 250, 615, 246?
Answer: LCM of 144, 622, 250, 615, 246 is 229518000.
2. How to calculate the LCM of 144, 622, 250, 615, 246?
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 144, 622, 250, 615, 246.
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}.