LCM of 412, 313, 462, 939, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 412, 313, 462, 939, 144 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, 313, 462, 939, 144. So, keep reading to learn more.
Given numbers are 412,313,462,939,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,313,462,939,144 is 357466032.
Find LCM of 412,313,462,939,144 with Prime Factorization
| 2 | 412, 313, 462, 939, 144 |
| 2 | 206, 313, 231, 939, 72 |
| 3 | 103, 313, 231, 939, 36 |
| 313 | 103, 313, 77, 313, 12 |
| 103, 1, 77, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 313 x 103 x 1 x 77 x 1 x 12 = 357466032
Therefore, the lowest common multiple of 412,313,462,939,144 is 357466032.
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 313 x 462 x 939 x 144 = 8055854497152
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
313 : 1, 313
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
939 : 1, 3, 313, 939
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,313,462,939,144, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
313:313
462:2x 3x 7x 11
939:3x 313
144:2x 2x 2x 2x 3x 3
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 3x 3x 313 = 22536
Therefore, the value for common factors is 22536.
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 = 8055854497152/(1x22536)
LCM = 8055854497152/22536
LCM = 357466032
Thus, we can understand that the LCM of 412,313,462,939,144 is 357466032.
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FAQs on LCM of 412, 313, 462, 939, 144
1. What is the LCM of 412, 313, 462, 939, 144?
Answer: LCM of 412, 313, 462, 939, 144 is 357466032.
2. How to calculate the LCM of 412, 313, 462, 939, 144?
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, 313, 462, 939, 144.
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}.