LCM of 287, 585, 789, 802, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 585, 789, 802, 468 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 287, 585, 789, 802, 468. So, keep reading to learn more.
Given numbers are 287,585,789,802,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,585,789,802,468 is 70826841540.
Find LCM of 287,585,789,802,468 with Prime Factorization
| 2 | 287, 585, 789, 802, 468 |
| 3 | 287, 585, 789, 401, 234 |
| 3 | 287, 195, 263, 401, 78 |
| 13 | 287, 65, 263, 401, 26 |
| 287, 5, 263, 401, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 287 x 5 x 263 x 401 x 2 = 70826841540
Therefore, the lowest common multiple of 287,585,789,802,468 is 70826841540.
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.
287 x 585 x 789 x 802 x 468 = 49720442761080
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.
287 : 1, 7, 41, 287
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
789 : 1, 3, 263, 789
802 : 1, 2, 401, 802
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,585,789,802,468, is 1.
Now, the common factors can be found like this.
287:7x 41
585:3x 3x 5x 13
789:3x 263
802:2x 401
468:2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 13 = 702
Therefore, the value for common factors is 702.
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 = 49720442761080/(1x702)
LCM = 49720442761080/702
LCM = 70826841540
Thus, we can understand that the LCM of 287,585,789,802,468 is 70826841540.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 287, 585, 789, 802, 468
1. What is the LCM of 287, 585, 789, 802, 468?
Answer: LCM of 287, 585, 789, 802, 468 is 70826841540.
2. How to calculate the LCM of 287, 585, 789, 802, 468?
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 287, 585, 789, 802, 468.
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}.