Find the LCM of 3030, 3170 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 3030, 3170. So, keep reading to learn more.
Given numbers are 3030,3170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3030,3170 is 960510.
Find LCM of 3030,3170 with Prime Factorization
| 2 | 3030, 3170 |
| 5 | 1515, 1585 |
| 303, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 303 x 317 = 960510
Therefore, the lowest common multiple of 3030,3170 is 960510.
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.
3030 x 3170 = 9605100
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.
3030 : 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030
3170 : 1, 2, 5, 10, 317, 634, 1585, 3170
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3030,3170, is 10.
Now, the common factors can be found like this.
3030:2x 3x 5x 101
3170:2x 5x 317
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 = 9605100/(10x1)
LCM = 9605100/10
LCM = 960510
Thus, we can understand that the LCM of 3030,3170 is 960510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3030, 3170?
Answer: LCM of 3030, 3170 is 960510.
2. How to calculate the LCM of 3030, 3170?
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 3030, 3170.
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}.