LCM of 5997, 5712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5997, 5712 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 5997, 5712. So, keep reading to learn more.
Given numbers are 5997,5712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5997,5712 is 11418288.
Find LCM of 5997,5712 with Prime Factorization
| 3 | 5997, 5712 |
| 1999, 1904 |
Multiply the prime numbers at the bottom and the left side.
3 x 1999 x 1904 = 11418288
Therefore, the lowest common multiple of 5997,5712 is 11418288.
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.
5997 x 5712 = 34254864
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.
5997 : 1, 3, 1999, 5997
5712 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5997,5712, is 3.
Now, the common factors can be found like this.
5997:3x 1999
5712:2x 2x 2x 2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 34254864/(3x1)
LCM = 34254864/3
LCM = 11418288
Thus, we can understand that the LCM of 5997,5712 is 11418288.
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FAQs on LCM of 5997, 5712
1. What is the LCM of 5997, 5712?
Answer: LCM of 5997, 5712 is 11418288.
2. How to calculate the LCM of 5997, 5712?
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 5997, 5712.
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}.