Find the LCM of 791, 418, 914, 836, 143 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 791, 418, 914, 836, 143. So, keep reading to learn more.
Given numbers are 791,418,914,836,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,418,914,836,143 is 3928640716.
Find LCM of 791,418,914,836,143 with Prime Factorization
2 | 791, 418, 914, 836, 143 |
11 | 791, 209, 457, 418, 143 |
19 | 791, 19, 457, 38, 13 |
791, 1, 457, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 791 x 1 x 457 x 2 x 13 = 3928640716
Therefore, the lowest common multiple of 791,418,914,836,143 is 3928640716.
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.
791 x 418 x 914 x 836 x 143 = 36127780024336
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.
791 : 1, 7, 113, 791
418 : 1, 2, 11, 19, 22, 38, 209, 418
914 : 1, 2, 457, 914
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,418,914,836,143, is 1.
Now, the common factors can be found like this.
791:7x 113
418:2x 11x 19
914:2x 457
836:2x 2x 11x 19
143:11x 13
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 11x 11x 19 = 9196
Therefore, the value for common factors is 9196.
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 = 36127780024336/(1x9196)
LCM = 36127780024336/9196
LCM = 3928640716
Thus, we can understand that the LCM of 791,418,914,836,143 is 3928640716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 791, 418, 914, 836, 143?
Answer: LCM of 791, 418, 914, 836, 143 is 3928640716.
2. How to calculate the LCM of 791, 418, 914, 836, 143?
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 791, 418, 914, 836, 143.
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}.