Find the LCM of 103, 908, 589, 681 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 103, 908, 589, 681. So, keep reading to learn more.
Given numbers are 103,908,589,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,908,589,681 is 165256908.
Find LCM of 103,908,589,681 with Prime Factorization
227 | 103, 908, 589, 681 |
103, 4, 589, 3 |
Multiply the prime numbers at the bottom and the left side.
227 x 103 x 4 x 589 x 3 = 165256908
Therefore, the lowest common multiple of 103,908,589,681 is 165256908.
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.
103 x 908 x 589 x 681 = 37513318116
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.
103 : 1, 103
908 : 1, 2, 4, 227, 454, 908
589 : 1, 19, 31, 589
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,908,589,681, is 1.
Now, the common factors can be found like this.
103:103
908:2x 2x 227
589:19x 31
681:3x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
227 = 227
Therefore, the value for common factors is 227.
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 = 37513318116/(1x227)
LCM = 37513318116/227
LCM = 165256908
Thus, we can understand that the LCM of 103,908,589,681 is 165256908.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 103, 908, 589, 681?
Answer: LCM of 103, 908, 589, 681 is 165256908.
2. How to calculate the LCM of 103, 908, 589, 681?
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 103, 908, 589, 681.
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}.