LCM of 818, 951, 317, 744, 139
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 951, 317, 744, 139 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 818, 951, 317, 744, 139. So, keep reading to learn more.
Given numbers are 818,951,317,744,139
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,951,317,744,139 is 13408194648.
Find LCM of 818,951,317,744,139 with Prime Factorization
| 2 | 818, 951, 317, 744, 139 |
| 3 | 409, 951, 317, 372, 139 |
| 317 | 409, 317, 317, 124, 139 |
| 409, 1, 1, 124, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 409 x 1 x 1 x 124 x 139 = 13408194648
Therefore, the lowest common multiple of 818,951,317,744,139 is 13408194648.
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.
818 x 951 x 317 x 744 x 139 = 25502386220496
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.
818 : 1, 2, 409, 818
951 : 1, 3, 317, 951
317 : 1, 317
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
139 : 1, 139
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,951,317,744,139, is 1.
Now, the common factors can be found like this.
818:2x 409
951:3x 317
317:317
744:2x 2x 2x 3x 31
139:139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 317 = 1902
Therefore, the value for common factors is 1902.
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 = 25502386220496/(1x1902)
LCM = 25502386220496/1902
LCM = 13408194648
Thus, we can understand that the LCM of 818,951,317,744,139 is 13408194648.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 818, 951, 317, 744, 139
1. What is the LCM of 818, 951, 317, 744, 139?
Answer: LCM of 818, 951, 317, 744, 139 is 13408194648.
2. How to calculate the LCM of 818, 951, 317, 744, 139?
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 818, 951, 317, 744, 139.
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}.