Find the LCM of 6738, 3030 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 6738, 3030. So, keep reading to learn more.
Given numbers are 6738,3030
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6738,3030 is 3402690.
Find LCM of 6738,3030 with Prime Factorization
| 2 | 6738, 3030 |
| 3 | 3369, 1515 |
| 1123, 505 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 1123 x 505 = 3402690
Therefore, the lowest common multiple of 6738,3030 is 3402690.
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.
6738 x 3030 = 20416140
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.
6738 : 1, 2, 3, 6, 1123, 2246, 3369, 6738
3030 : 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6738,3030, is 6.
Now, the common factors can be found like this.
6738:2x 3x 1123
3030:2x 3x 5x 101
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 = 20416140/(6x1)
LCM = 20416140/6
LCM = 3402690
Thus, we can understand that the LCM of 6738,3030 is 3402690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6738, 3030?
Answer: LCM of 6738, 3030 is 3402690.
2. How to calculate the LCM of 6738, 3030?
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 6738, 3030.
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}.