Find the LCM of 3987, 6027 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 3987, 6027. So, keep reading to learn more.
Given numbers are 3987,6027
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3987,6027 is 8009883.
Find LCM of 3987,6027 with Prime Factorization
| 3 | 3987, 6027 |
| 1329, 2009 |
Multiply the prime numbers at the bottom and the left side.
3 x 1329 x 2009 = 8009883
Therefore, the lowest common multiple of 3987,6027 is 8009883.
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.
3987 x 6027 = 24029649
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.
3987 : 1, 3, 9, 443, 1329, 3987
6027 : 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3987,6027, is 3.
Now, the common factors can be found like this.
3987:3x 3x 443
6027:3x 7x 7x 41
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 = 24029649/(3x1)
LCM = 24029649/3
LCM = 8009883
Thus, we can understand that the LCM of 3987,6027 is 8009883.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3987, 6027?
Answer: LCM of 3987, 6027 is 8009883.
2. How to calculate the LCM of 3987, 6027?
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 3987, 6027.
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}.