LCM of 312, 412, 309, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 412, 309, 717 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 312, 412, 309, 717. So, keep reading to learn more.
Given numbers are 312,412,309,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,412,309,717 is 7680504.
Find LCM of 312,412,309,717 with Prime Factorization
| 2 | 312, 412, 309, 717 |
| 2 | 156, 206, 309, 717 |
| 3 | 78, 103, 309, 717 |
| 103 | 26, 103, 103, 239 |
| 26, 1, 1, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 26 x 1 x 1 x 239 = 7680504
Therefore, the lowest common multiple of 312,412,309,717 is 7680504.
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.
312 x 412 x 309 x 717 = 28479308832
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
412 : 1, 2, 4, 103, 206, 412
309 : 1, 3, 103, 309
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,412,309,717, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
412:2x 2x 103
309:3x 103
717:3x 239
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 3x 103 = 3708
Therefore, the value for common factors is 3708.
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 = 28479308832/(1x3708)
LCM = 28479308832/3708
LCM = 7680504
Thus, we can understand that the LCM of 312,412,309,717 is 7680504.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 412, 309, 717
1. What is the LCM of 312, 412, 309, 717?
Answer: LCM of 312, 412, 309, 717 is 7680504.
2. How to calculate the LCM of 312, 412, 309, 717?
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 312, 412, 309, 717.
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}.