Find the LCM of 247, 951, 284, 317 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 247, 951, 284, 317. So, keep reading to learn more.
Given numbers are 247,951,284,317
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,951,284,317 is 66710748.
Find LCM of 247,951,284,317 with Prime Factorization
317 | 247, 951, 284, 317 |
247, 3, 284, 1 |
Multiply the prime numbers at the bottom and the left side.
317 x 247 x 3 x 284 x 1 = 66710748
Therefore, the lowest common multiple of 247,951,284,317 is 66710748.
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.
247 x 951 x 284 x 317 = 21147307116
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.
247 : 1, 13, 19, 247
951 : 1, 3, 317, 951
284 : 1, 2, 4, 71, 142, 284
317 : 1, 317
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,951,284,317, is 1.
Now, the common factors can be found like this.
247:13x 19
951:3x 317
284:2x 2x 71
317:317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
317 = 317
Therefore, the value for common factors is 317.
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 = 21147307116/(1x317)
LCM = 21147307116/317
LCM = 66710748
Thus, we can understand that the LCM of 247,951,284,317 is 66710748.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 247, 951, 284, 317?
Answer: LCM of 247, 951, 284, 317 is 66710748.
2. How to calculate the LCM of 247, 951, 284, 317?
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 247, 951, 284, 317.
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}.