Find the LCM of 427, 404, 358, 204, 427 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 427, 404, 358, 204, 427. So, keep reading to learn more.
Given numbers are 427,404,358,204,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,404,358,204,427 is 1574825532.
Find LCM of 427,404,358,204,427 with Prime Factorization
2 | 427, 404, 358, 204, 427 |
2 | 427, 202, 179, 102, 427 |
7 | 427, 101, 179, 51, 427 |
61 | 61, 101, 179, 51, 61 |
1, 101, 179, 51, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 61 x 1 x 101 x 179 x 51 x 1 = 1574825532
Therefore, the lowest common multiple of 427,404,358,204,427 is 1574825532.
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.
427 x 404 x 358 x 204 x 427 = 5379604017312
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.
427 : 1, 7, 61, 427
404 : 1, 2, 4, 101, 202, 404
358 : 1, 2, 179, 358
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,404,358,204,427, is 1.
Now, the common factors can be found like this.
427:7x 61
404:2x 2x 101
358:2x 179
204:2x 2x 3x 17
427:7x 61
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 7x 61 = 3416
Therefore, the value for common factors is 3416.
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 = 5379604017312/(1x3416)
LCM = 5379604017312/3416
LCM = 1574825532
Thus, we can understand that the LCM of 427,404,358,204,427 is 1574825532.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 427, 404, 358, 204, 427?
Answer: LCM of 427, 404, 358, 204, 427 is 1574825532.
2. How to calculate the LCM of 427, 404, 358, 204, 427?
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 427, 404, 358, 204, 427.
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}.