LCM of 512, 771, 514, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 512, 771, 514, 599 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 512, 771, 514, 599. So, keep reading to learn more.
Given numbers are 512,771,514,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,771,514,599 is 236456448.
Find LCM of 512,771,514,599 with Prime Factorization
| 2 | 512, 771, 514, 599 |
| 257 | 256, 771, 257, 599 |
| 256, 3, 1, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 257 x 256 x 3 x 1 x 599 = 236456448
Therefore, the lowest common multiple of 512,771,514,599 is 236456448.
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.
512 x 771 x 514 x 599 = 121538614272
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
771 : 1, 3, 257, 771
514 : 1, 2, 257, 514
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,771,514,599, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
771:3x 257
514:2x 257
599:599
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 257 = 514
Therefore, the value for common factors is 514.
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 = 121538614272/(1x514)
LCM = 121538614272/514
LCM = 236456448
Thus, we can understand that the LCM of 512,771,514,599 is 236456448.
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FAQs on LCM of 512, 771, 514, 599
1. What is the LCM of 512, 771, 514, 599?
Answer: LCM of 512, 771, 514, 599 is 236456448.
2. How to calculate the LCM of 512, 771, 514, 599?
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 512, 771, 514, 599.
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}.