LCM of 514, 712, 356, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 712, 356, 419 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, 712, 356, 419. So, keep reading to learn more.
Given numbers are 514,712,356,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,712,356,419 is 76670296.
Find LCM of 514,712,356,419 with Prime Factorization
| 2 | 514, 712, 356, 419 |
| 2 | 257, 356, 178, 419 |
| 89 | 257, 89, 178, 419 |
| 257, 1, 2, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 89 x 257 x 1 x 2 x 419 = 76670296
Therefore, the lowest common multiple of 514,712,356,419 is 76670296.
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 712 x 356 x 419 = 54589250752
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
712 : 1, 2, 4, 8, 89, 178, 356, 712
356 : 1, 2, 4, 89, 178, 356
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,712,356,419, is 1.
Now, the common factors can be found like this.
514:2x 257
712:2x 2x 2x 89
356:2x 2x 89
419:419
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 89 = 712
Therefore, the value for common factors is 712.
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 = 54589250752/(1x712)
LCM = 54589250752/712
LCM = 76670296
Thus, we can understand that the LCM of 514,712,356,419 is 76670296.
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, 712, 356, 419
1. What is the LCM of 514, 712, 356, 419?
Answer: LCM of 514, 712, 356, 419 is 76670296.
2. How to calculate the LCM of 514, 712, 356, 419?
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, 712, 356, 419.
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}.