Find the LCM of 230, 589, 331, 124, 442 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 230, 589, 331, 124, 442. So, keep reading to learn more.
Given numbers are 230,589,331,124,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,589,331,124,442 is 19819531940.
Find LCM of 230,589,331,124,442 with Prime Factorization
2 | 230, 589, 331, 124, 442 |
31 | 115, 589, 331, 62, 221 |
115, 19, 331, 2, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 115 x 19 x 331 x 2 x 221 = 19819531940
Therefore, the lowest common multiple of 230,589,331,124,442 is 19819531940.
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.
230 x 589 x 331 x 124 x 442 = 2457621960560
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
589 : 1, 19, 31, 589
331 : 1, 331
124 : 1, 2, 4, 31, 62, 124
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,589,331,124,442, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
589:19x 31
331:331
124:2x 2x 31
442:2x 13x 17
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 31 = 124
Therefore, the value for common factors is 124.
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 = 2457621960560/(1x124)
LCM = 2457621960560/124
LCM = 19819531940
Thus, we can understand that the LCM of 230,589,331,124,442 is 19819531940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 589, 331, 124, 442?
Answer: LCM of 230, 589, 331, 124, 442 is 19819531940.
2. How to calculate the LCM of 230, 589, 331, 124, 442?
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 230, 589, 331, 124, 442.
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}.