LCM of 494, 398, 205, 330, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 398, 205, 330, 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 494, 398, 205, 330, 589. So, keep reading to learn more.
Given numbers are 494,398,205,330,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,398,205,330,589 is 20616242790.
Find LCM of 494,398,205,330,589 with Prime Factorization
| 2 | 494, 398, 205, 330, 589 |
| 5 | 247, 199, 205, 165, 589 |
| 19 | 247, 199, 41, 33, 589 |
| 13, 199, 41, 33, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 13 x 199 x 41 x 33 x 31 = 20616242790
Therefore, the lowest common multiple of 494,398,205,330,589 is 20616242790.
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 398 x 205 x 330 x 589 = 7834172260200
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
398 : 1, 2, 199, 398
205 : 1, 5, 41, 205
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,398,205,330,589, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
398:2x 199
205:5x 41
330:2x 3x 5x 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 5x 19 = 380
Therefore, the value for common factors is 380.
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 = 7834172260200/(1x380)
LCM = 7834172260200/380
LCM = 20616242790
Thus, we can understand that the LCM of 494,398,205,330,589 is 20616242790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 494, 398, 205, 330, 589
1. What is the LCM of 494, 398, 205, 330, 589?
Answer: LCM of 494, 398, 205, 330, 589 is 20616242790.
2. How to calculate the LCM of 494, 398, 205, 330, 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 494, 398, 205, 330, 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}.