Find the LCM of 116, 899, 589 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 116, 899, 589. So, keep reading to learn more.
Given numbers are 116,899,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,899,589 is 68324.
Find LCM of 116,899,589 with Prime Factorization
29 | 116, 899, 589 |
31 | 4, 31, 589 |
4, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
29 x 31 x 4 x 1 x 19 = 68324
Therefore, the lowest common multiple of 116,899,589 is 68324.
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.
116 x 899 x 589 = 61423276
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.
116 : 1, 2, 4, 29, 58, 116
899 : 1, 29, 31, 899
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,899,589, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
899:29x 31
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 31 = 899
Therefore, the value for common factors is 899.
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 = 61423276/(1x899)
LCM = 61423276/899
LCM = 68324
Thus, we can understand that the LCM of 116,899,589 is 68324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 116, 899, 589?
Answer: LCM of 116, 899, 589 is 68324.
2. How to calculate the LCM of 116, 899, 589?
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 116, 899, 589.
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}.