LCM of 515, 990, 840, 309, 823
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 990, 840, 309, 823 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 515, 990, 840, 309, 823. So, keep reading to learn more.
Given numbers are 515,990,840,309,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,990,840,309,823 is 2349796680.
Find LCM of 515,990,840,309,823 with Prime Factorization
| 2 | 515, 990, 840, 309, 823 |
| 3 | 515, 495, 420, 309, 823 |
| 5 | 515, 165, 140, 103, 823 |
| 103 | 103, 33, 28, 103, 823 |
| 1, 33, 28, 1, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 103 x 1 x 33 x 28 x 1 x 823 = 2349796680
Therefore, the lowest common multiple of 515,990,840,309,823 is 2349796680.
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.
515 x 990 x 840 x 309 x 823 = 108913076118000
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.
515 : 1, 5, 103, 515
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
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
309 : 1, 3, 103, 309
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,990,840,309,823, is 1.
Now, the common factors can be found like this.
515:5x 103
990:2x 3x 3x 5x 11
840:2x 2x 2x 3x 5x 7
309:3x 103
823:823
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 5x 5x 103 = 46350
Therefore, the value for common factors is 46350.
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 = 108913076118000/(1x46350)
LCM = 108913076118000/46350
LCM = 2349796680
Thus, we can understand that the LCM of 515,990,840,309,823 is 2349796680.
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FAQs on LCM of 515, 990, 840, 309, 823
1. What is the LCM of 515, 990, 840, 309, 823?
Answer: LCM of 515, 990, 840, 309, 823 is 2349796680.
2. How to calculate the LCM of 515, 990, 840, 309, 823?
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 515, 990, 840, 309, 823.
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}.