LCM of 993, 990, 615, 440, 439
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 990, 615, 440, 439 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 993, 990, 615, 440, 439. So, keep reading to learn more.
Given numbers are 993,990,615,440,439
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,990,615,440,439 is 23592369240.
Find LCM of 993,990,615,440,439 with Prime Factorization
| 2 | 993, 990, 615, 440, 439 |
| 3 | 993, 495, 615, 220, 439 |
| 5 | 331, 165, 205, 220, 439 |
| 11 | 331, 33, 41, 44, 439 |
| 331, 3, 41, 4, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 331 x 3 x 41 x 4 x 439 = 23592369240
Therefore, the lowest common multiple of 993,990,615,440,439 is 23592369240.
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.
993 x 990 x 615 x 440 x 439 = 116782227738000
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.
993 : 1, 3, 331, 993
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
615 : 1, 3, 5, 15, 41, 123, 205, 615
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
439 : 1, 439
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,990,615,440,439, is 1.
Now, the common factors can be found like this.
993:3x 331
990:2x 3x 3x 5x 11
615:3x 5x 41
440:2x 2x 2x 5x 11
439:439
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 11 = 4950
Therefore, the value for common factors is 4950.
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 = 116782227738000/(1x4950)
LCM = 116782227738000/4950
LCM = 23592369240
Thus, we can understand that the LCM of 993,990,615,440,439 is 23592369240.
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FAQs on LCM of 993, 990, 615, 440, 439
1. What is the LCM of 993, 990, 615, 440, 439?
Answer: LCM of 993, 990, 615, 440, 439 is 23592369240.
2. How to calculate the LCM of 993, 990, 615, 440, 439?
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 993, 990, 615, 440, 439.
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}.