LCM of 418, 139, 417, 249, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 139, 417, 249, 107 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 418, 139, 417, 249, 107. So, keep reading to learn more.
Given numbers are 418,139,417,249,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,139,417,249,107 is 1548011586.
Find LCM of 418,139,417,249,107 with Prime Factorization
| 3 | 418, 139, 417, 249, 107 |
| 139 | 418, 139, 139, 83, 107 |
| 418, 1, 1, 83, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 139 x 418 x 1 x 1 x 83 x 107 = 1548011586
Therefore, the lowest common multiple of 418,139,417,249,107 is 1548011586.
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.
418 x 139 x 417 x 249 x 107 = 645520831362
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
139 : 1, 139
417 : 1, 3, 139, 417
249 : 1, 3, 83, 249
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,139,417,249,107, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
139:139
417:3x 139
249:3x 83
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 139 = 417
Therefore, the value for common factors is 417.
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 = 645520831362/(1x417)
LCM = 645520831362/417
LCM = 1548011586
Thus, we can understand that the LCM of 418,139,417,249,107 is 1548011586.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 418, 139, 417, 249, 107
1. What is the LCM of 418, 139, 417, 249, 107?
Answer: LCM of 418, 139, 417, 249, 107 is 1548011586.
2. How to calculate the LCM of 418, 139, 417, 249, 107?
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 418, 139, 417, 249, 107.
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}.