Find the LCM of 407, 784, 425, 209, 960 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 407, 784, 425, 209, 960. So, keep reading to learn more.
Given numbers are 407,784,425,209,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,784,425,209,960 is 30919627200.
Find LCM of 407,784,425,209,960 with Prime Factorization
2 | 407, 784, 425, 209, 960 |
2 | 407, 392, 425, 209, 480 |
2 | 407, 196, 425, 209, 240 |
2 | 407, 98, 425, 209, 120 |
5 | 407, 49, 425, 209, 60 |
11 | 407, 49, 85, 209, 12 |
37, 49, 85, 19, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 37 x 49 x 85 x 19 x 12 = 30919627200
Therefore, the lowest common multiple of 407,784,425,209,960 is 30919627200.
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.
407 x 784 x 425 x 209 x 960 = 27209271936000
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.
407 : 1, 11, 37, 407
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
425 : 1, 5, 17, 25, 85, 425
209 : 1, 11, 19, 209
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,784,425,209,960, is 1.
Now, the common factors can be found like this.
407:11x 37
784:2x 2x 2x 2x 7x 7
425:5x 5x 17
209:11x 19
960:2x 2x 2x 2x 2x 2x 3x 5
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 27209271936000/(1x880)
LCM = 27209271936000/880
LCM = 30919627200
Thus, we can understand that the LCM of 407,784,425,209,960 is 30919627200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 784, 425, 209, 960?
Answer: LCM of 407, 784, 425, 209, 960 is 30919627200.
2. How to calculate the LCM of 407, 784, 425, 209, 960?
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 407, 784, 425, 209, 960.
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}.