LCM of 959, 512, 453, 531, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 512, 453, 531, 514 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 959, 512, 453, 531, 514. So, keep reading to learn more.
Given numbers are 959,512,453,531,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,512,453,531,514 is 10117964699136.
Find LCM of 959,512,453,531,514 with Prime Factorization
| 2 | 959, 512, 453, 531, 514 |
| 3 | 959, 256, 453, 531, 257 |
| 959, 256, 151, 177, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 959 x 256 x 151 x 177 x 257 = 10117964699136
Therefore, the lowest common multiple of 959,512,453,531,514 is 10117964699136.
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.
959 x 512 x 453 x 531 x 514 = 60707788194816
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.
959 : 1, 7, 137, 959
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
453 : 1, 3, 151, 453
531 : 1, 3, 9, 59, 177, 531
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,512,453,531,514, is 1.
Now, the common factors can be found like this.
959:7x 137
512:2x 2x 2x 2x 2x 2x 2x 2x 2
453:3x 151
531:3x 3x 59
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 60707788194816/(1x6)
LCM = 60707788194816/6
LCM = 10117964699136
Thus, we can understand that the LCM of 959,512,453,531,514 is 10117964699136.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 959, 512, 453, 531, 514
1. What is the LCM of 959, 512, 453, 531, 514?
Answer: LCM of 959, 512, 453, 531, 514 is 10117964699136.
2. How to calculate the LCM of 959, 512, 453, 531, 514?
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 959, 512, 453, 531, 514.
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}.