Find the LCM of 814, 121, 259, 989 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 814, 121, 259, 989. So, keep reading to learn more.
Given numbers are 814,121,259,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,121,259,989 is 61988542.
Find LCM of 814,121,259,989 with Prime Factorization
11 | 814, 121, 259, 989 |
37 | 74, 11, 259, 989 |
2, 11, 7, 989 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 2 x 11 x 7 x 989 = 61988542
Therefore, the lowest common multiple of 814,121,259,989 is 61988542.
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.
814 x 121 x 259 x 989 = 25229336594
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
121 : 1, 11, 121
259 : 1, 7, 37, 259
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,121,259,989, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
121:11x 11
259:7x 37
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 37 = 407
Therefore, the value for common factors is 407.
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 = 25229336594/(1x407)
LCM = 25229336594/407
LCM = 61988542
Thus, we can understand that the LCM of 814,121,259,989 is 61988542.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 121, 259, 989?
Answer: LCM of 814, 121, 259, 989 is 61988542.
2. How to calculate the LCM of 814, 121, 259, 989?
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 814, 121, 259, 989.
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}.