LCM of 412, 680, 374, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 680, 374, 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 412, 680, 374, 309. So, keep reading to learn more.
Given numbers are 412,680,374,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,680,374,309 is 2311320.
Find LCM of 412,680,374,309 with Prime Factorization
| 2 | 412, 680, 374, 309 |
| 2 | 206, 340, 187, 309 |
| 17 | 103, 170, 187, 309 |
| 103 | 103, 10, 11, 309 |
| 1, 10, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 103 x 1 x 10 x 11 x 3 = 2311320
Therefore, the lowest common multiple of 412,680,374,309 is 2311320.
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.
412 x 680 x 374 x 309 = 32376970560
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.
412 : 1, 2, 4, 103, 206, 412
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
374 : 1, 2, 11, 17, 22, 34, 187, 374
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,680,374,309, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
680:2x 2x 2x 5x 17
374:2x 11x 17
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 2x 17x 103 = 14008
Therefore, the value for common factors is 14008.
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 = 32376970560/(1x14008)
LCM = 32376970560/14008
LCM = 2311320
Thus, we can understand that the LCM of 412,680,374,309 is 2311320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 412, 680, 374, 309
1. What is the LCM of 412, 680, 374, 309?
Answer: LCM of 412, 680, 374, 309 is 2311320.
2. How to calculate the LCM of 412, 680, 374, 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 412, 680, 374, 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}.