LCM of 105, 768, 762, 668, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 768, 762, 668, 512 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 105, 768, 762, 668, 512. So, keep reading to learn more.
Given numbers are 105,768,762,668,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,768,762,668,512 is 1140195840.
Find LCM of 105,768,762,668,512 with Prime Factorization
| 2 | 105, 768, 762, 668, 512 |
| 2 | 105, 384, 381, 334, 256 |
| 2 | 105, 192, 381, 167, 128 |
| 2 | 105, 96, 381, 167, 64 |
| 2 | 105, 48, 381, 167, 32 |
| 2 | 105, 24, 381, 167, 16 |
| 2 | 105, 12, 381, 167, 8 |
| 2 | 105, 6, 381, 167, 4 |
| 3 | 105, 3, 381, 167, 2 |
| 35, 1, 127, 167, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 35 x 1 x 127 x 167 x 2 = 1140195840
Therefore, the lowest common multiple of 105,768,762,668,512 is 1140195840.
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.
105 x 768 x 762 x 668 x 512 = 21016089722880
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
762 : 1, 2, 3, 6, 127, 254, 381, 762
668 : 1, 2, 4, 167, 334, 668
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,768,762,668,512, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
768:2x 2x 2x 2x 2x 2x 2x 2x 3
762:2x 3x 127
668:2x 2x 167
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 2x 2x 2x 2x 2x 3x 3 = 18432
Therefore, the value for common factors is 18432.
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 = 21016089722880/(1x18432)
LCM = 21016089722880/18432
LCM = 1140195840
Thus, we can understand that the LCM of 105,768,762,668,512 is 1140195840.
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FAQs on LCM of 105, 768, 762, 668, 512
1. What is the LCM of 105, 768, 762, 668, 512?
Answer: LCM of 105, 768, 762, 668, 512 is 1140195840.
2. How to calculate the LCM of 105, 768, 762, 668, 512?
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 105, 768, 762, 668, 512.
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}.