Find the LCM of 3153, 8949 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 3153, 8949. So, keep reading to learn more.
Given numbers are 3153,8949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3153,8949 is 9405399.
Find LCM of 3153,8949 with Prime Factorization
| 3 | 3153, 8949 |
| 1051, 2983 |
Multiply the prime numbers at the bottom and the left side.
3 x 1051 x 2983 = 9405399
Therefore, the lowest common multiple of 3153,8949 is 9405399.
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.
3153 x 8949 = 28216197
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.
3153 : 1, 3, 1051, 3153
8949 : 1, 3, 19, 57, 157, 471, 2983, 8949
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3153,8949, is 3.
Now, the common factors can be found like this.
3153:3x 1051
8949:3x 19x 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 = 28216197/(3x1)
LCM = 28216197/3
LCM = 9405399
Thus, we can understand that the LCM of 3153,8949 is 9405399.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3153, 8949?
Answer: LCM of 3153, 8949 is 9405399.
2. How to calculate the LCM of 3153, 8949?
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 3153, 8949.
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}.