LCM of 514, 486, 771, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 486, 771, 753 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, 486, 771, 753. So, keep reading to learn more.
Given numbers are 514,486,771,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,486,771,753 is 31350402.
Find LCM of 514,486,771,753 with Prime Factorization
| 2 | 514, 486, 771, 753 |
| 3 | 257, 243, 771, 753 |
| 257 | 257, 81, 257, 251 |
| 1, 81, 1, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 257 x 1 x 81 x 1 x 251 = 31350402
Therefore, the lowest common multiple of 514,486,771,753 is 31350402.
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 486 x 771 x 753 = 145026959652
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
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
771 : 1, 3, 257, 771
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,486,771,753, is 1.
Now, the common factors can be found like this.
514:2x 257
486:2x 3x 3x 3x 3x 3
771:3x 257
753:3x 251
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 3x 257 = 4626
Therefore, the value for common factors is 4626.
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 = 145026959652/(1x4626)
LCM = 145026959652/4626
LCM = 31350402
Thus, we can understand that the LCM of 514,486,771,753 is 31350402.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 514, 486, 771, 753
1. What is the LCM of 514, 486, 771, 753?
Answer: LCM of 514, 486, 771, 753 is 31350402.
2. How to calculate the LCM of 514, 486, 771, 753?
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, 486, 771, 753.
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}.