Find the LCM of 3172, 9658 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 3172, 9658. So, keep reading to learn more.
Given numbers are 3172,9658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3172,9658 is 15317588.
Find LCM of 3172,9658 with Prime Factorization
| 2 | 3172, 9658 |
| 1586, 4829 |
Multiply the prime numbers at the bottom and the left side.
2 x 1586 x 4829 = 15317588
Therefore, the lowest common multiple of 3172,9658 is 15317588.
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.
3172 x 9658 = 30635176
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.
3172 : 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172
9658 : 1, 2, 11, 22, 439, 878, 4829, 9658
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3172,9658, is 2.
Now, the common factors can be found like this.
3172:2x 2x 13x 61
9658:2x 11x 439
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 = 30635176/(2x1)
LCM = 30635176/2
LCM = 15317588
Thus, we can understand that the LCM of 3172,9658 is 15317588.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3172, 9658?
Answer: LCM of 3172, 9658 is 15317588.
2. How to calculate the LCM of 3172, 9658?
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 3172, 9658.
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}.