Find the LCM of 709, 826, 395, 395 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, 826, 395, 395. So, keep reading to learn more.
Given numbers are 709,826,395,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,826,395,395 is 231325430.
Find LCM of 709,826,395,395 with Prime Factorization
5 | 709, 826, 395, 395 |
79 | 709, 826, 79, 79 |
709, 826, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 79 x 709 x 826 x 1 x 1 = 231325430
Therefore, the lowest common multiple of 709,826,395,395 is 231325430.
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 826 x 395 x 395 = 91373544850
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
826 : 1, 2, 7, 14, 59, 118, 413, 826
395 : 1, 5, 79, 395
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,826,395,395, is 1.
Now, the common factors can be found like this.
709:709
826:2x 7x 59
395:5x 79
395:5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 79 = 395
Therefore, the value for common factors is 395.
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 = 91373544850/(1x395)
LCM = 91373544850/395
LCM = 231325430
Thus, we can understand that the LCM of 709,826,395,395 is 231325430.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 826, 395, 395?
Answer: LCM of 709, 826, 395, 395 is 231325430.
2. How to calculate the LCM of 709, 826, 395, 395?
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, 826, 395, 395.
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}.