LCM of 538, 506, 286, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 506, 286, 414 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 538, 506, 286, 414. So, keep reading to learn more.
Given numbers are 538,506,286,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,506,286,414 is 15925338.
Find LCM of 538,506,286,414 with Prime Factorization
| 2 | 538, 506, 286, 414 |
| 11 | 269, 253, 143, 207 |
| 23 | 269, 23, 13, 207 |
| 269, 1, 13, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 269 x 1 x 13 x 9 = 15925338
Therefore, the lowest common multiple of 538,506,286,414 is 15925338.
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.
538 x 506 x 286 x 414 = 32232884112
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.
538 : 1, 2, 269, 538
506 : 1, 2, 11, 22, 23, 46, 253, 506
286 : 1, 2, 11, 13, 22, 26, 143, 286
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,506,286,414, is 2.
Now, the common factors can be found like this.
538:2x 269
506:2x 11x 23
286:2x 11x 13
414:2x 3x 3x 23
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 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 32232884112/(2x1012)
LCM = 32232884112/2024
LCM = 15925338
Thus, we can understand that the LCM of 538,506,286,414 is 15925338.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 538, 506, 286, 414
1. What is the LCM of 538, 506, 286, 414?
Answer: LCM of 538, 506, 286, 414 is 15925338.
2. How to calculate the LCM of 538, 506, 286, 414?
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 538, 506, 286, 414.
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}.