Find the LCM of 283, 856, 397, 794 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, 856, 397, 794. So, keep reading to learn more.
Given numbers are 283,856,397,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,856,397,794 is 96172456.
Find LCM of 283,856,397,794 with Prime Factorization
2 | 283, 856, 397, 794 |
397 | 283, 428, 397, 397 |
283, 428, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 397 x 283 x 428 x 1 x 1 = 96172456
Therefore, the lowest common multiple of 283,856,397,794 is 96172456.
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 856 x 397 x 794 = 76360930064
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
856 : 1, 2, 4, 8, 107, 214, 428, 856
397 : 1, 397
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,856,397,794, is 1.
Now, the common factors can be found like this.
283:283
856:2x 2x 2x 107
397:397
794:2x 397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 397 = 794
Therefore, the value for common factors is 794.
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 = 76360930064/(1x794)
LCM = 76360930064/794
LCM = 96172456
Thus, we can understand that the LCM of 283,856,397,794 is 96172456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 283, 856, 397, 794?
Answer: LCM of 283, 856, 397, 794 is 96172456.
2. How to calculate the LCM of 283, 856, 397, 794?
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, 856, 397, 794.
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}.