LCM of 489, 717, 663, 346, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 717, 663, 346, 813 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, 717, 663, 346, 813. So, keep reading to learn more.
Given numbers are 489,717,663,346,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,717,663,346,813 is 2421834287106.
Find LCM of 489,717,663,346,813 with Prime Factorization
| 3 | 489, 717, 663, 346, 813 |
| 163, 239, 221, 346, 271 |
Multiply the prime numbers at the bottom and the left side.
3 x 163 x 239 x 221 x 346 x 271 = 2421834287106
Therefore, the lowest common multiple of 489,717,663,346,813 is 2421834287106.
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 717 x 663 x 346 x 813 = 65389525751862
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
717 : 1, 3, 239, 717
663 : 1, 3, 13, 17, 39, 51, 221, 663
346 : 1, 2, 173, 346
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,717,663,346,813, is 1.
Now, the common factors can be found like this.
489:3x 163
717:3x 239
663:3x 13x 17
346:2x 173
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 65389525751862/(1x27)
LCM = 65389525751862/27
LCM = 2421834287106
Thus, we can understand that the LCM of 489,717,663,346,813 is 2421834287106.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 489, 717, 663, 346, 813
1. What is the LCM of 489, 717, 663, 346, 813?
Answer: LCM of 489, 717, 663, 346, 813 is 2421834287106.
2. How to calculate the LCM of 489, 717, 663, 346, 813?
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, 717, 663, 346, 813.
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}.