Find the LCM of 914, 457, 983 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 914, 457, 983. So, keep reading to learn more.
Given numbers are 914,457,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,457,983 is 898462.
Find LCM of 914,457,983 with Prime Factorization
457 | 914, 457, 983 |
2, 1, 983 |
Multiply the prime numbers at the bottom and the left side.
457 x 2 x 1 x 983 = 898462
Therefore, the lowest common multiple of 914,457,983 is 898462.
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.
914 x 457 x 983 = 410597134
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.
914 : 1, 2, 457, 914
457 : 1, 457
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,457,983, is 1.
Now, the common factors can be found like this.
914:2x 457
457:457
983:983
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
457 = 457
Therefore, the value for common factors is 457.
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 = 410597134/(1x457)
LCM = 410597134/457
LCM = 898462
Thus, we can understand that the LCM of 914,457,983 is 898462.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 457, 983?
Answer: LCM of 914, 457, 983 is 898462.
2. How to calculate the LCM of 914, 457, 983?
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 914, 457, 983.
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}.