LCM of 5728, 4432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 5728, 4432 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 5728, 4432. So, keep reading to learn more.
Given numbers are 5728,4432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5728,4432 is 1586656.
Find LCM of 5728,4432 with Prime Factorization
| 2 | 5728, 4432 |
| 2 | 2864, 2216 |
| 2 | 1432, 1108 |
| 2 | 716, 554 |
| 358, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 358 x 277 = 1586656
Therefore, the lowest common multiple of 5728,4432 is 1586656.
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.
5728 x 4432 = 25386496
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.
5728 : 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728
4432 : 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432
16 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5728,4432, is 16.
Now, the common factors can be found like this.
5728:2x 2x 2x 2x 2x 179
4432:2x 2x 2x 2x 277
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 = 25386496/(16x1)
LCM = 25386496/16
LCM = 1586656
Thus, we can understand that the LCM of 5728,4432 is 1586656.
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FAQs on LCM of 5728, 4432
1. What is the LCM of 5728, 4432?
Answer: LCM of 5728, 4432 is 1586656.
2. How to calculate the LCM of 5728, 4432?
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 5728, 4432.
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}.