Find the LCM of 494, 390, 289, 867, 926 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 494, 390, 289, 867, 926. So, keep reading to learn more.
Given numbers are 494,390,289,867,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,390,289,867,926 is 991509870.
Find LCM of 494,390,289,867,926 with Prime Factorization
2 | 494, 390, 289, 867, 926 |
3 | 247, 195, 289, 867, 463 |
13 | 247, 65, 289, 289, 463 |
17 | 19, 5, 289, 289, 463 |
17 | 19, 5, 17, 17, 463 |
19, 5, 1, 1, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 17 x 19 x 5 x 1 x 1 x 463 = 991509870
Therefore, the lowest common multiple of 494,390,289,867,926 is 991509870.
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.
494 x 390 x 289 x 867 x 926 = 44701230979080
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
289 : 1, 17, 289
867 : 1, 3, 17, 51, 289, 867
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,390,289,867,926, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
390:2x 3x 5x 13
289:17x 17
867:3x 17x 17
926:2x 463
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 13x 17x 17 = 45084
Therefore, the value for common factors is 45084.
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 = 44701230979080/(1x45084)
LCM = 44701230979080/45084
LCM = 991509870
Thus, we can understand that the LCM of 494,390,289,867,926 is 991509870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 390, 289, 867, 926?
Answer: LCM of 494, 390, 289, 867, 926 is 991509870.
2. How to calculate the LCM of 494, 390, 289, 867, 926?
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 494, 390, 289, 867, 926.
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}.