Find the LCM of 797, 989, 131, 961, 828 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 797, 989, 131, 961, 828. So, keep reading to learn more.
Given numbers are 797,989,131,961,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,989,131,961,828 is 3572331861708.
Find LCM of 797,989,131,961,828 with Prime Factorization
23 | 797, 989, 131, 961, 828 |
797, 43, 131, 961, 36 |
Multiply the prime numbers at the bottom and the left side.
23 x 797 x 43 x 131 x 961 x 36 = 3572331861708
Therefore, the lowest common multiple of 797,989,131,961,828 is 3572331861708.
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.
797 x 989 x 131 x 961 x 828 = 82163632819284
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.
797 : 1, 797
989 : 1, 23, 43, 989
131 : 1, 131
961 : 1, 31, 961
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,989,131,961,828, is 1.
Now, the common factors can be found like this.
797:797
989:23x 43
131:131
961:31x 31
828:2x 2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 82163632819284/(1x23)
LCM = 82163632819284/23
LCM = 3572331861708
Thus, we can understand that the LCM of 797,989,131,961,828 is 3572331861708.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 797, 989, 131, 961, 828?
Answer: LCM of 797, 989, 131, 961, 828 is 3572331861708.
2. How to calculate the LCM of 797, 989, 131, 961, 828?
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 797, 989, 131, 961, 828.
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}.