Find the LCM of 983, 517, 385, 836 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 983, 517, 385, 836. So, keep reading to learn more.
Given numbers are 983,517,385,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,517,385,836 is 1351841260.
Find LCM of 983,517,385,836 with Prime Factorization
11 | 983, 517, 385, 836 |
983, 47, 35, 76 |
Multiply the prime numbers at the bottom and the left side.
11 x 983 x 47 x 35 x 76 = 1351841260
Therefore, the lowest common multiple of 983,517,385,836 is 1351841260.
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.
983 x 517 x 385 x 836 = 163572792460
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.
983 : 1, 983
517 : 1, 11, 47, 517
385 : 1, 5, 7, 11, 35, 55, 77, 385
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,517,385,836, is 1.
Now, the common factors can be found like this.
983:983
517:11x 47
385:5x 7x 11
836:2x 2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 163572792460/(1x121)
LCM = 163572792460/121
LCM = 1351841260
Thus, we can understand that the LCM of 983,517,385,836 is 1351841260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 983, 517, 385, 836?
Answer: LCM of 983, 517, 385, 836 is 1351841260.
2. How to calculate the LCM of 983, 517, 385, 836?
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 983, 517, 385, 836.
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}.