LCM of 131, 114, 412, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 114, 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 131, 114, 412, 309. So, keep reading to learn more.
Given numbers are 131,114,412,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,114,412,309 is 3076404.
Find LCM of 131,114,412,309 with Prime Factorization
| 2 | 131, 114, 412, 309 |
| 3 | 131, 57, 206, 309 |
| 103 | 131, 19, 206, 103 |
| 131, 19, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 131 x 19 x 2 x 1 = 3076404
Therefore, the lowest common multiple of 131,114,412,309 is 3076404.
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.
131 x 114 x 412 x 309 = 1901217672
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.
131 : 1, 131
114 : 1, 2, 3, 6, 19, 38, 57, 114
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 131,114,412,309, is 1.
Now, the common factors can be found like this.
131:131
114:2x 3x 19
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 3x 103 = 618
Therefore, the value for common factors is 618.
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 = 1901217672/(1x618)
LCM = 1901217672/618
LCM = 3076404
Thus, we can understand that the LCM of 131,114,412,309 is 3076404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 131, 114, 412, 309
1. What is the LCM of 131, 114, 412, 309?
Answer: LCM of 131, 114, 412, 309 is 3076404.
2. How to calculate the LCM of 131, 114, 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 131, 114, 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}.