LCM of 514, 589, 486, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 589, 486, 465 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 514, 589, 486, 465. So, keep reading to learn more.
Given numbers are 514,589,486,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,589,486,465 is 367836390.
Find LCM of 514,589,486,465 with Prime Factorization
| 2 | 514, 589, 486, 465 |
| 3 | 257, 589, 243, 465 |
| 31 | 257, 589, 81, 155 |
| 257, 19, 81, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 257 x 19 x 81 x 5 = 367836390
Therefore, the lowest common multiple of 514,589,486,465 is 367836390.
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.
514 x 589 x 486 x 465 = 68417568540
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.
514 : 1, 2, 257, 514
589 : 1, 19, 31, 589
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,589,486,465, is 1.
Now, the common factors can be found like this.
514:2x 257
589:19x 31
486:2x 3x 3x 3x 3x 3
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 31 = 186
Therefore, the value for common factors is 186.
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 = 68417568540/(1x186)
LCM = 68417568540/186
LCM = 367836390
Thus, we can understand that the LCM of 514,589,486,465 is 367836390.
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FAQs on LCM of 514, 589, 486, 465
1. What is the LCM of 514, 589, 486, 465?
Answer: LCM of 514, 589, 486, 465 is 367836390.
2. How to calculate the LCM of 514, 589, 486, 465?
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 514, 589, 486, 465.
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}.