Find the LCM of 413, 642, 826, 118 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 413, 642, 826, 118. So, keep reading to learn more.
Given numbers are 413,642,826,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,642,826,118 is 265146.
Find LCM of 413,642,826,118 with Prime Factorization
2 | 413, 642, 826, 118 |
7 | 413, 321, 413, 59 |
59 | 59, 321, 59, 59 |
1, 321, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 59 x 1 x 321 x 1 x 1 = 265146
Therefore, the lowest common multiple of 413,642,826,118 is 265146.
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.
413 x 642 x 826 x 118 = 25843250328
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.
413 : 1, 7, 59, 413
642 : 1, 2, 3, 6, 107, 214, 321, 642
826 : 1, 2, 7, 14, 59, 118, 413, 826
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,642,826,118, is 1.
Now, the common factors can be found like this.
413:7x 59
642:2x 3x 107
826:2x 7x 59
118:2x 59
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 7x 59x 59 = 97468
Therefore, the value for common factors is 97468.
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 = 25843250328/(1x97468)
LCM = 25843250328/97468
LCM = 265146
Thus, we can understand that the LCM of 413,642,826,118 is 265146.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 413, 642, 826, 118?
Answer: LCM of 413, 642, 826, 118 is 265146.
2. How to calculate the LCM of 413, 642, 826, 118?
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 413, 642, 826, 118.
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}.