LCM of 768, 800, 760, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 800, 760, 766 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, 800, 760, 766. So, keep reading to learn more.
Given numbers are 768,800,760,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,800,760,766 is 139718400.
Find LCM of 768,800,760,766 with Prime Factorization
| 2 | 768, 800, 760, 766 |
| 2 | 384, 400, 380, 383 |
| 2 | 192, 200, 190, 383 |
| 2 | 96, 100, 95, 383 |
| 2 | 48, 50, 95, 383 |
| 5 | 24, 25, 95, 383 |
| 24, 5, 19, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 24 x 5 x 19 x 383 = 139718400
Therefore, the lowest common multiple of 768,800,760,766 is 139718400.
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 800 x 760 x 766 = 357679104000
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
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
766 : 1, 2, 383, 766
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,800,760,766, is 2.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
800:2x 2x 2x 2x 2x 5x 5
760:2x 2x 2x 5x 19
766:2x 383
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 5 = 1280
Therefore, the value for common factors is 1280.
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 = 357679104000/(2x1280)
LCM = 357679104000/2560
LCM = 139718400
Thus, we can understand that the LCM of 768,800,760,766 is 139718400.
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FAQs on LCM of 768, 800, 760, 766
1. What is the LCM of 768, 800, 760, 766?
Answer: LCM of 768, 800, 760, 766 is 139718400.
2. How to calculate the LCM of 768, 800, 760, 766?
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, 800, 760, 766.
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}.