LCM of 768, 465, 306, 814, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 465, 306, 814, 990 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 768, 465, 306, 814, 990. So, keep reading to learn more.
Given numbers are 768,465,306,814,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,465,306,814,990 is 2470913280.
Find LCM of 768,465,306,814,990 with Prime Factorization
| 2 | 768, 465, 306, 814, 990 |
| 3 | 384, 465, 153, 407, 495 |
| 3 | 128, 155, 51, 407, 165 |
| 5 | 128, 155, 17, 407, 55 |
| 11 | 128, 31, 17, 407, 11 |
| 128, 31, 17, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 128 x 31 x 17 x 37 x 1 = 2470913280
Therefore, the lowest common multiple of 768,465,306,814,990 is 2470913280.
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.
768 x 465 x 306 x 814 x 990 = 88063349299200
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
465 : 1, 3, 5, 15, 31, 93, 155, 465
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
814 : 1, 2, 11, 22, 37, 74, 407, 814
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,465,306,814,990, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
465:3x 5x 31
306:2x 3x 3x 17
814:2x 11x 37
990:2x 3x 3x 5x 11
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 3x 3x 5x 11 = 35640
Therefore, the value for common factors is 35640.
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 = 88063349299200/(1x35640)
LCM = 88063349299200/35640
LCM = 2470913280
Thus, we can understand that the LCM of 768,465,306,814,990 is 2470913280.
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FAQs on LCM of 768, 465, 306, 814, 990
1. What is the LCM of 768, 465, 306, 814, 990?
Answer: LCM of 768, 465, 306, 814, 990 is 2470913280.
2. How to calculate the LCM of 768, 465, 306, 814, 990?
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 768, 465, 306, 814, 990.
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}.