Find the LCM of 676, 763, 516, 198, 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 676, 763, 516, 198, 836. So, keep reading to learn more.
Given numbers are 676,763,516,198,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,763,516,198,836 is 41718480804.
Find LCM of 676,763,516,198,836 with Prime Factorization
2 | 676, 763, 516, 198, 836 |
2 | 338, 763, 258, 99, 418 |
3 | 169, 763, 129, 99, 209 |
11 | 169, 763, 43, 33, 209 |
169, 763, 43, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 169 x 763 x 43 x 3 x 19 = 41718480804
Therefore, the lowest common multiple of 676,763,516,198,836 is 41718480804.
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.
676 x 763 x 516 x 198 x 836 = 44054715729024
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
763 : 1, 7, 109, 763
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
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 676,763,516,198,836, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
763:7x 109
516:2x 2x 3x 43
198:2x 3x 3x 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.
2x 2x 2x 2x 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 44054715729024/(1x1056)
LCM = 44054715729024/1056
LCM = 41718480804
Thus, we can understand that the LCM of 676,763,516,198,836 is 41718480804.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 763, 516, 198, 836?
Answer: LCM of 676, 763, 516, 198, 836 is 41718480804.
2. How to calculate the LCM of 676, 763, 516, 198, 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 676, 763, 516, 198, 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}.