LCM of 3944, 7072
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 3944, 7072 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 3944, 7072. So, keep reading to learn more.
Given numbers are 3944,7072
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3944,7072 is 205088.
Find LCM of 3944,7072 with Prime Factorization
| 2 | 3944, 7072 |
| 2 | 1972, 3536 |
| 2 | 986, 1768 |
| 17 | 493, 884 |
| 29, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 29 x 52 = 205088
Therefore, the lowest common multiple of 3944,7072 is 205088.
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.
3944 x 7072 = 27891968
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.
3944 : 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944
7072 : 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
136 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3944,7072, is 136.
Now, the common factors can be found like this.
3944:2x 2x 2x 17x 29
7072:2x 2x 2x 2x 2x 13x 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 = 27891968/(136x1)
LCM = 27891968/136
LCM = 205088
Thus, we can understand that the LCM of 3944,7072 is 205088.
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FAQs on LCM of 3944, 7072
1. What is the LCM of 3944, 7072?
Answer: LCM of 3944, 7072 is 205088.
2. How to calculate the LCM of 3944, 7072?
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 3944, 7072.
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}.