Find the LCM of 796, 725, 990, 598, 871 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 796, 725, 990, 598, 871. So, keep reading to learn more.
Given numbers are 796,725,990,598,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,725,990,598,871 is 1144543385700.
Find LCM of 796,725,990,598,871 with Prime Factorization
2 | 796, 725, 990, 598, 871 |
5 | 398, 725, 495, 299, 871 |
13 | 398, 145, 99, 299, 871 |
398, 145, 99, 23, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 398 x 145 x 99 x 23 x 67 = 1144543385700
Therefore, the lowest common multiple of 796,725,990,598,871 is 1144543385700.
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.
796 x 725 x 990 x 598 x 871 = 297581280282000
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.
796 : 1, 2, 4, 199, 398, 796
725 : 1, 5, 25, 29, 145, 725
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
598 : 1, 2, 13, 23, 26, 46, 299, 598
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,725,990,598,871, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
725:5x 5x 29
990:2x 3x 3x 5x 11
598:2x 13x 23
871:13x 67
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 297581280282000/(1x260)
LCM = 297581280282000/260
LCM = 1144543385700
Thus, we can understand that the LCM of 796,725,990,598,871 is 1144543385700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 796, 725, 990, 598, 871?
Answer: LCM of 796, 725, 990, 598, 871 is 1144543385700.
2. How to calculate the LCM of 796, 725, 990, 598, 871?
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 796, 725, 990, 598, 871.
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}.