LCM of 4396, 5712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 4396, 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 4396, 5712. So, keep reading to learn more.
Given numbers are 4396,5712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4396,5712 is 896784.
Find LCM of 4396,5712 with Prime Factorization
| 2 | 4396, 5712 |
| 2 | 2198, 2856 |
| 7 | 1099, 1428 |
| 157, 204 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 157 x 204 = 896784
Therefore, the lowest common multiple of 4396,5712 is 896784.
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.
4396 x 5712 = 25109952
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.
4396 : 1, 2, 4, 7, 14, 28, 157, 314, 628, 1099, 2198, 4396
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
28 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4396,5712, is 28.
Now, the common factors can be found like this.
4396:2x 2x 7x 157
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 = 25109952/(28x1)
LCM = 25109952/28
LCM = 896784
Thus, we can understand that the LCM of 4396,5712 is 896784.
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FAQs on LCM of 4396, 5712
1. What is the LCM of 4396, 5712?
Answer: LCM of 4396, 5712 is 896784.
2. How to calculate the LCM of 4396, 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 4396, 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}.