Find the LCM of 461, 951, 914, 317, 637 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 461, 951, 914, 317, 637. So, keep reading to learn more.
Given numbers are 461,951,914,317,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,951,914,317,637 is 255250775598.
Find LCM of 461,951,914,317,637 with Prime Factorization
317 | 461, 951, 914, 317, 637 |
461, 3, 914, 1, 637 |
Multiply the prime numbers at the bottom and the left side.
317 x 461 x 3 x 914 x 1 x 637 = 255250775598
Therefore, the lowest common multiple of 461,951,914,317,637 is 255250775598.
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.
461 x 951 x 914 x 317 x 637 = 80914495864566
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.
461 : 1, 461
951 : 1, 3, 317, 951
914 : 1, 2, 457, 914
317 : 1, 317
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,951,914,317,637, is 1.
Now, the common factors can be found like this.
461:461
951:3x 317
914:2x 457
317:317
637:7x 7x 13
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 = 80914495864566/(1x317)
LCM = 80914495864566/317
LCM = 255250775598
Thus, we can understand that the LCM of 461,951,914,317,637 is 255250775598.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 951, 914, 317, 637?
Answer: LCM of 461, 951, 914, 317, 637 is 255250775598.
2. How to calculate the LCM of 461, 951, 914, 317, 637?
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 461, 951, 914, 317, 637.
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}.