LCM of 513, 687, 600, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 687, 600, 768 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 513, 687, 600, 768. So, keep reading to learn more.
Given numbers are 513,687,600,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,687,600,768 is 751852800.
Find LCM of 513,687,600,768 with Prime Factorization
| 2 | 513, 687, 600, 768 |
| 2 | 513, 687, 300, 384 |
| 2 | 513, 687, 150, 192 |
| 3 | 513, 687, 75, 96 |
| 171, 229, 25, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 171 x 229 x 25 x 32 = 751852800
Therefore, the lowest common multiple of 513,687,600,768 is 751852800.
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.
513 x 687 x 600 x 768 = 162400204800
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
687 : 1, 3, 229, 687
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,687,600,768, is 3.
Now, the common factors can be found like this.
513:3x 3x 3x 19
687:3x 229
600:2x 2x 2x 3x 5x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3 = 72
Therefore, the value for common factors is 72.
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 = 162400204800/(3x72)
LCM = 162400204800/216
LCM = 751852800
Thus, we can understand that the LCM of 513,687,600,768 is 751852800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 687, 600, 768
1. What is the LCM of 513, 687, 600, 768?
Answer: LCM of 513, 687, 600, 768 is 751852800.
2. How to calculate the LCM of 513, 687, 600, 768?
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 513, 687, 600, 768.
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}.