Find the LCM of 9082, 7170 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 9082, 7170. So, keep reading to learn more.
Given numbers are 9082,7170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9082,7170 is 136230.
Find LCM of 9082,7170 with Prime Factorization
| 2 | 9082, 7170 |
| 239 | 4541, 3585 |
| 19, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 19 x 15 = 136230
Therefore, the lowest common multiple of 9082,7170 is 136230.
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.
9082 x 7170 = 65117940
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.
9082 : 1, 2, 19, 38, 239, 478, 4541, 9082
7170 : 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170
478 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9082,7170, is 478.
Now, the common factors can be found like this.
9082:2x 19x 239
7170:2x 3x 5x 239
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 = 65117940/(478x1)
LCM = 65117940/478
LCM = 136230
Thus, we can understand that the LCM of 9082,7170 is 136230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9082, 7170?
Answer: LCM of 9082, 7170 is 136230.
2. How to calculate the LCM of 9082, 7170?
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 9082, 7170.
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}.