Find the LCM of 986, 471, 849, 508, 379 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 986, 471, 849, 508, 379. So, keep reading to learn more.
Given numbers are 986,471,849,508,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,471,849,508,379 is 12651941762868.
Find LCM of 986,471,849,508,379 with Prime Factorization
2 | 986, 471, 849, 508, 379 |
3 | 493, 471, 849, 254, 379 |
493, 157, 283, 254, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 493 x 157 x 283 x 254 x 379 = 12651941762868
Therefore, the lowest common multiple of 986,471,849,508,379 is 12651941762868.
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.
986 x 471 x 849 x 508 x 379 = 75911650577208
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
471 : 1, 3, 157, 471
849 : 1, 3, 283, 849
508 : 1, 2, 4, 127, 254, 508
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,471,849,508,379, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
471:3x 157
849:3x 283
508:2x 2x 127
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 75911650577208/(1x6)
LCM = 75911650577208/6
LCM = 12651941762868
Thus, we can understand that the LCM of 986,471,849,508,379 is 12651941762868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 471, 849, 508, 379?
Answer: LCM of 986, 471, 849, 508, 379 is 12651941762868.
2. How to calculate the LCM of 986, 471, 849, 508, 379?
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 986, 471, 849, 508, 379.
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}.