LCM of 287, 409, 580, 522, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 409, 580, 522, 996 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, 409, 580, 522, 996. So, keep reading to learn more.
Given numbers are 287,409,580,522,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,409,580,522,996 is 50857358580.
Find LCM of 287,409,580,522,996 with Prime Factorization
| 2 | 287, 409, 580, 522, 996 |
| 2 | 287, 409, 290, 261, 498 |
| 3 | 287, 409, 145, 261, 249 |
| 29 | 287, 409, 145, 87, 83 |
| 287, 409, 5, 3, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 287 x 409 x 5 x 3 x 83 = 50857358580
Therefore, the lowest common multiple of 287,409,580,522,996 is 50857358580.
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 409 x 580 x 522 x 996 = 35396721571680
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
409 : 1, 409
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,409,580,522,996, is 1.
Now, the common factors can be found like this.
287:7x 41
409:409
580:2x 2x 5x 29
522:2x 3x 3x 29
996:2x 2x 3x 83
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 2x 3x 29 = 696
Therefore, the value for common factors is 696.
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 = 35396721571680/(1x696)
LCM = 35396721571680/696
LCM = 50857358580
Thus, we can understand that the LCM of 287,409,580,522,996 is 50857358580.
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FAQs on LCM of 287, 409, 580, 522, 996
1. What is the LCM of 287, 409, 580, 522, 996?
Answer: LCM of 287, 409, 580, 522, 996 is 50857358580.
2. How to calculate the LCM of 287, 409, 580, 522, 996?
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, 409, 580, 522, 996.
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}.