Find the LCM of 802, 478, 494, 522, 585 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 802, 478, 494, 522, 585. So, keep reading to learn more.
Given numbers are 802,478,494,522,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,478,494,522,585 is 61784528130.
Find LCM of 802,478,494,522,585 with Prime Factorization
2 | 802, 478, 494, 522, 585 |
3 | 401, 239, 247, 261, 585 |
3 | 401, 239, 247, 87, 195 |
13 | 401, 239, 247, 29, 65 |
401, 239, 19, 29, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 401 x 239 x 19 x 29 x 5 = 61784528130
Therefore, the lowest common multiple of 802,478,494,522,585 is 61784528130.
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.
802 x 478 x 494 x 522 x 585 = 57830318329680
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.
802 : 1, 2, 401, 802
478 : 1, 2, 239, 478
494 : 1, 2, 13, 19, 26, 38, 247, 494
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,478,494,522,585, is 1.
Now, the common factors can be found like this.
802:2x 401
478:2x 239
494:2x 13x 19
522:2x 3x 3x 29
585:3x 3x 5x 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 2x 2x 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 57830318329680/(1x936)
LCM = 57830318329680/936
LCM = 61784528130
Thus, we can understand that the LCM of 802,478,494,522,585 is 61784528130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 478, 494, 522, 585?
Answer: LCM of 802, 478, 494, 522, 585 is 61784528130.
2. How to calculate the LCM of 802, 478, 494, 522, 585?
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 802, 478, 494, 522, 585.
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}.