Find the LCM of 9132, 5217 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 9132, 5217. So, keep reading to learn more.
Given numbers are 9132,5217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9132,5217 is 15880548.
Find LCM of 9132,5217 with Prime Factorization
| 3 | 9132, 5217 |
| 3044, 1739 |
Multiply the prime numbers at the bottom and the left side.
3 x 3044 x 1739 = 15880548
Therefore, the lowest common multiple of 9132,5217 is 15880548.
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.
9132 x 5217 = 47641644
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.
9132 : 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132
5217 : 1, 3, 37, 47, 111, 141, 1739, 5217
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9132,5217, is 3.
Now, the common factors can be found like this.
9132:2x 2x 3x 761
5217:3x 37x 47
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 = 47641644/(3x1)
LCM = 47641644/3
LCM = 15880548
Thus, we can understand that the LCM of 9132,5217 is 15880548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9132, 5217?
Answer: LCM of 9132, 5217 is 15880548.
2. How to calculate the LCM of 9132, 5217?
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 9132, 5217.
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}.