Find the LCM of 709, 338, 858, 675, 905 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 709, 338, 858, 675, 905. So, keep reading to learn more.
Given numbers are 709,338,858,675,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,338,858,675,905 is 322060874850.
Find LCM of 709,338,858,675,905 with Prime Factorization
2 | 709, 338, 858, 675, 905 |
3 | 709, 169, 429, 675, 905 |
5 | 709, 169, 143, 225, 905 |
13 | 709, 169, 143, 45, 181 |
709, 13, 11, 45, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 709 x 13 x 11 x 45 x 181 = 322060874850
Therefore, the lowest common multiple of 709,338,858,675,905 is 322060874850.
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.
709 x 338 x 858 x 675 x 905 = 125603741191500
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.
709 : 1, 709
338 : 1, 2, 13, 26, 169, 338
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,338,858,675,905, is 1.
Now, the common factors can be found like this.
709:709
338:2x 13x 13
858:2x 3x 11x 13
675:3x 3x 3x 5x 5
905:5x 181
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 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 125603741191500/(1x390)
LCM = 125603741191500/390
LCM = 322060874850
Thus, we can understand that the LCM of 709,338,858,675,905 is 322060874850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 338, 858, 675, 905?
Answer: LCM of 709, 338, 858, 675, 905 is 322060874850.
2. How to calculate the LCM of 709, 338, 858, 675, 905?
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 709, 338, 858, 675, 905.
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}.