Find the LCM of 4905, 4251 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 4905, 4251. So, keep reading to learn more.
Given numbers are 4905,4251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4905,4251 is 63765.
Find LCM of 4905,4251 with Prime Factorization
| 3 | 4905, 4251 |
| 109 | 1635, 1417 |
| 15, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 109 x 15 x 13 = 63765
Therefore, the lowest common multiple of 4905,4251 is 63765.
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.
4905 x 4251 = 20851155
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.
4905 : 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905
4251 : 1, 3, 13, 39, 109, 327, 1417, 4251
327 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4905,4251, is 327.
Now, the common factors can be found like this.
4905:3x 3x 5x 109
4251:3x 13x 109
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 = 20851155/(327x1)
LCM = 20851155/327
LCM = 63765
Thus, we can understand that the LCM of 4905,4251 is 63765.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 4905, 4251?
Answer: LCM of 4905, 4251 is 63765.
2. How to calculate the LCM of 4905, 4251?
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 4905, 4251.
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}.