Find the LCM of 5154, 6114 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 5154, 6114. So, keep reading to learn more.
Given numbers are 5154,6114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5154,6114 is 5251926.
Find LCM of 5154,6114 with Prime Factorization
| 2 | 5154, 6114 |
| 3 | 2577, 3057 |
| 859, 1019 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 859 x 1019 = 5251926
Therefore, the lowest common multiple of 5154,6114 is 5251926.
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.
5154 x 6114 = 31511556
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.
5154 : 1, 2, 3, 6, 859, 1718, 2577, 5154
6114 : 1, 2, 3, 6, 1019, 2038, 3057, 6114
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5154,6114, is 6.
Now, the common factors can be found like this.
5154:2x 3x 859
6114:2x 3x 1019
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 = 31511556/(6x1)
LCM = 31511556/6
LCM = 5251926
Thus, we can understand that the LCM of 5154,6114 is 5251926.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5154, 6114?
Answer: LCM of 5154, 6114 is 5251926.
2. How to calculate the LCM of 5154, 6114?
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 5154, 6114.
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}.