LCM of 426, 382, 412, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 382, 412, 309 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 426, 382, 412, 309. So, keep reading to learn more.
Given numbers are 426,382,412,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,382,412,309 is 16761396.
Find LCM of 426,382,412,309 with Prime Factorization
| 2 | 426, 382, 412, 309 |
| 3 | 213, 191, 206, 309 |
| 103 | 71, 191, 206, 103 |
| 71, 191, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 71 x 191 x 2 x 1 = 16761396
Therefore, the lowest common multiple of 426,382,412,309 is 16761396.
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.
426 x 382 x 412 x 309 = 20717085456
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
382 : 1, 2, 191, 382
412 : 1, 2, 4, 103, 206, 412
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,382,412,309, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
382:2x 191
412:2x 2x 103
309:3x 103
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 3x 103 = 1236
Therefore, the value for common factors is 1236.
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 = 20717085456/(1x1236)
LCM = 20717085456/1236
LCM = 16761396
Thus, we can understand that the LCM of 426,382,412,309 is 16761396.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 426, 382, 412, 309
1. What is the LCM of 426, 382, 412, 309?
Answer: LCM of 426, 382, 412, 309 is 16761396.
2. How to calculate the LCM of 426, 382, 412, 309?
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 426, 382, 412, 309.
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}.