Find the LCM of 2103, 3768 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 2103, 3768. So, keep reading to learn more.
Given numbers are 2103,3768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2103,3768 is 2641368.
Find LCM of 2103,3768 with Prime Factorization
| 3 | 2103, 3768 |
| 701, 1256 |
Multiply the prime numbers at the bottom and the left side.
3 x 701 x 1256 = 2641368
Therefore, the lowest common multiple of 2103,3768 is 2641368.
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.
2103 x 3768 = 7924104
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.
2103 : 1, 3, 701, 2103
3768 : 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2103,3768, is 3.
Now, the common factors can be found like this.
2103:3x 701
3768:2x 2x 2x 3x 157
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 = 7924104/(3x1)
LCM = 7924104/3
LCM = 2641368
Thus, we can understand that the LCM of 2103,3768 is 2641368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2103, 3768?
Answer: LCM of 2103, 3768 is 2641368.
2. How to calculate the LCM of 2103, 3768?
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 2103, 3768.
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}.