Find the LCM of 259, 799, 799, 842 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 259, 799, 799, 842. So, keep reading to learn more.
Given numbers are 259,799,799,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,799,799,842 is 174244322.
Find LCM of 259,799,799,842 with Prime Factorization
17 | 259, 799, 799, 842 |
47 | 259, 47, 47, 842 |
259, 1, 1, 842 |
Multiply the prime numbers at the bottom and the left side.
17 x 47 x 259 x 1 x 1 x 842 = 174244322
Therefore, the lowest common multiple of 259,799,799,842 is 174244322.
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.
259 x 799 x 799 x 842 = 139221213278
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.
259 : 1, 7, 37, 259
799 : 1, 17, 47, 799
799 : 1, 17, 47, 799
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,799,799,842, is 1.
Now, the common factors can be found like this.
259:7x 37
799:17x 47
799:17x 47
842:2x 421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 47 = 799
Therefore, the value for common factors is 799.
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 = 139221213278/(1x799)
LCM = 139221213278/799
LCM = 174244322
Thus, we can understand that the LCM of 259,799,799,842 is 174244322.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 259, 799, 799, 842?
Answer: LCM of 259, 799, 799, 842 is 174244322.
2. How to calculate the LCM of 259, 799, 799, 842?
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 259, 799, 799, 842.
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}.