Find the LCM of 283, 283, 856, 428 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 283, 283, 856, 428. So, keep reading to learn more.
Given numbers are 283,283,856,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,283,856,428 is 242248.
Find LCM of 283,283,856,428 with Prime Factorization
2 | 283, 283, 856, 428 |
2 | 283, 283, 428, 214 |
107 | 283, 283, 107, 214 |
283 | 283, 283, 1, 2 |
1, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 283 x 1 x 1 x 1 x 2 = 242248
Therefore, the lowest common multiple of 283,283,856,428 is 242248.
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.
283 x 283 x 856 x 428 = 29342046752
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.
283 : 1, 283
283 : 1, 283
856 : 1, 2, 4, 8, 107, 214, 428, 856
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,283,856,428, is 1.
Now, the common factors can be found like this.
283:283
283:283
856:2x 2x 2x 107
428:2x 2x 107
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 107x 283 = 121124
Therefore, the value for common factors is 121124.
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 = 29342046752/(1x121124)
LCM = 29342046752/121124
LCM = 242248
Thus, we can understand that the LCM of 283,283,856,428 is 242248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 283, 283, 856, 428?
Answer: LCM of 283, 283, 856, 428 is 242248.
2. How to calculate the LCM of 283, 283, 856, 428?
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 283, 283, 856, 428.
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}.