Find the LCM of 130, 882, 933, 924, 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 130, 882, 933, 924, 589. So, keep reading to learn more.
Given numbers are 130,882,933,924,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,882,933,924,589 is 231036345540.
Find LCM of 130,882,933,924,589 with Prime Factorization
2 | 130, 882, 933, 924, 589 |
3 | 65, 441, 933, 462, 589 |
7 | 65, 147, 311, 154, 589 |
65, 21, 311, 22, 589 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 65 x 21 x 311 x 22 x 589 = 231036345540
Therefore, the lowest common multiple of 130,882,933,924,589 is 231036345540.
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.
130 x 882 x 933 x 924 x 589 = 58221159076080
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
933 : 1, 3, 311, 933
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,882,933,924,589, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
882:2x 3x 3x 7x 7
933:3x 311
924:2x 2x 3x 7x 11
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.
2x 2x 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 58221159076080/(1x252)
LCM = 58221159076080/252
LCM = 231036345540
Thus, we can understand that the LCM of 130,882,933,924,589 is 231036345540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 130, 882, 933, 924, 589?
Answer: LCM of 130, 882, 933, 924, 589 is 231036345540.
2. How to calculate the LCM of 130, 882, 933, 924, 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 130, 882, 933, 924, 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}.