Find the LCM of 997, 748, 317, 317, 658 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 997, 748, 317, 317, 658. So, keep reading to learn more.
Given numbers are 997,748,317,317,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,748,317,317,658 is 77777130508.
Find LCM of 997,748,317,317,658 with Prime Factorization
2 | 997, 748, 317, 317, 658 |
317 | 997, 374, 317, 317, 329 |
997, 374, 1, 1, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 997 x 374 x 1 x 1 x 329 = 77777130508
Therefore, the lowest common multiple of 997,748,317,317,658 is 77777130508.
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.
997 x 748 x 317 x 317 x 658 = 49310700742072
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.
997 : 1, 997
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
317 : 1, 317
317 : 1, 317
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,748,317,317,658, is 1.
Now, the common factors can be found like this.
997:997
748:2x 2x 11x 17
317:317
317:317
658:2x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 317 = 634
Therefore, the value for common factors is 634.
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 = 49310700742072/(1x634)
LCM = 49310700742072/634
LCM = 77777130508
Thus, we can understand that the LCM of 997,748,317,317,658 is 77777130508.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 997, 748, 317, 317, 658?
Answer: LCM of 997, 748, 317, 317, 658 is 77777130508.
2. How to calculate the LCM of 997, 748, 317, 317, 658?
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 997, 748, 317, 317, 658.
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}.