LCM of 768, 902, 814, 693, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 902, 814, 693, 510 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, 902, 814, 693, 510. So, keep reading to learn more.
Given numbers are 768,902,814,693,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,902,814,693,510 is 22875874560.
Find LCM of 768,902,814,693,510 with Prime Factorization
| 2 | 768, 902, 814, 693, 510 |
| 3 | 384, 451, 407, 693, 255 |
| 11 | 128, 451, 407, 231, 85 |
| 128, 41, 37, 21, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 128 x 41 x 37 x 21 x 85 = 22875874560
Therefore, the lowest common multiple of 768,902,814,693,510 is 22875874560.
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 902 x 814 x 693 x 510 = 199294619166720
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
902 : 1, 2, 11, 22, 41, 82, 451, 902
814 : 1, 2, 11, 22, 37, 74, 407, 814
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,902,814,693,510, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
902:2x 11x 41
814:2x 11x 37
693:3x 3x 7x 11
510:2x 3x 5x 17
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 11x 11 = 8712
Therefore, the value for common factors is 8712.
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 = 199294619166720/(1x8712)
LCM = 199294619166720/8712
LCM = 22875874560
Thus, we can understand that the LCM of 768,902,814,693,510 is 22875874560.
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FAQs on LCM of 768, 902, 814, 693, 510
1. What is the LCM of 768, 902, 814, 693, 510?
Answer: LCM of 768, 902, 814, 693, 510 is 22875874560.
2. How to calculate the LCM of 768, 902, 814, 693, 510?
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, 902, 814, 693, 510.
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}.