LCM of 489, 920, 460, 823, 383
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 920, 460, 823, 383 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 489, 920, 460, 823, 383. So, keep reading to learn more.
Given numbers are 489,920,460,823,383
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,920,460,823,383 is 141806224920.
Find LCM of 489,920,460,823,383 with Prime Factorization
| 2 | 489, 920, 460, 823, 383 |
| 2 | 489, 460, 230, 823, 383 |
| 5 | 489, 115, 230, 823, 383 |
| 23 | 489, 23, 46, 823, 383 |
| 489, 1, 2, 823, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 489 x 1 x 2 x 823 x 383 = 141806224920
Therefore, the lowest common multiple of 489,920,460,823,383 is 141806224920.
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.
489 x 920 x 460 x 823 x 383 = 65230863463200
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.
489 : 1, 3, 163, 489
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
823 : 1, 823
383 : 1, 383
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,920,460,823,383, is 1.
Now, the common factors can be found like this.
489:3x 163
920:2x 2x 2x 5x 23
460:2x 2x 5x 23
823:823
383:383
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 23 = 460
Therefore, the value for common factors is 460.
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 = 65230863463200/(1x460)
LCM = 65230863463200/460
LCM = 141806224920
Thus, we can understand that the LCM of 489,920,460,823,383 is 141806224920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 489, 920, 460, 823, 383
1. What is the LCM of 489, 920, 460, 823, 383?
Answer: LCM of 489, 920, 460, 823, 383 is 141806224920.
2. How to calculate the LCM of 489, 920, 460, 823, 383?
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 489, 920, 460, 823, 383.
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}.