Find the LCM of 503, 990, 395, 509, 902 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 503, 990, 395, 509, 902. So, keep reading to learn more.
Given numbers are 503,990,395,509,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,990,395,509,902 is 820978738470.
Find LCM of 503,990,395,509,902 with Prime Factorization
2 | 503, 990, 395, 509, 902 |
5 | 503, 495, 395, 509, 451 |
11 | 503, 99, 79, 509, 451 |
503, 9, 79, 509, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 503 x 9 x 79 x 509 x 41 = 820978738470
Therefore, the lowest common multiple of 503,990,395,509,902 is 820978738470.
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.
503 x 990 x 395 x 509 x 902 = 90307661231700
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.
503 : 1, 503
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
395 : 1, 5, 79, 395
509 : 1, 509
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,990,395,509,902, is 1.
Now, the common factors can be found like this.
503:503
990:2x 3x 3x 5x 11
395:5x 79
509:509
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 90307661231700/(1x110)
LCM = 90307661231700/110
LCM = 820978738470
Thus, we can understand that the LCM of 503,990,395,509,902 is 820978738470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 503, 990, 395, 509, 902?
Answer: LCM of 503, 990, 395, 509, 902 is 820978738470.
2. How to calculate the LCM of 503, 990, 395, 509, 902?
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 503, 990, 395, 509, 902.
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}.