Find the LCM of 286, 914, 447, 428, 360 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 286, 914, 447, 428, 360. So, keep reading to learn more.
Given numbers are 286,914,447,428,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,914,447,428,360 is 375080757480.
Find LCM of 286,914,447,428,360 with Prime Factorization
2 | 286, 914, 447, 428, 360 |
2 | 143, 457, 447, 214, 180 |
3 | 143, 457, 447, 107, 90 |
143, 457, 149, 107, 30 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 143 x 457 x 149 x 107 x 30 = 375080757480
Therefore, the lowest common multiple of 286,914,447,428,360 is 375080757480.
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.
286 x 914 x 447 x 428 x 360 = 18003876359040
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
914 : 1, 2, 457, 914
447 : 1, 3, 149, 447
428 : 1, 2, 4, 107, 214, 428
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,914,447,428,360, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
914:2x 457
447:3x 149
428:2x 2x 107
360:2x 2x 2x 3x 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 3 = 48
Therefore, the value for common factors is 48.
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 = 18003876359040/(1x48)
LCM = 18003876359040/48
LCM = 375080757480
Thus, we can understand that the LCM of 286,914,447,428,360 is 375080757480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 286, 914, 447, 428, 360?
Answer: LCM of 286, 914, 447, 428, 360 is 375080757480.
2. How to calculate the LCM of 286, 914, 447, 428, 360?
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 286, 914, 447, 428, 360.
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}.