Find the LCM of 3681, 2007 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 3681, 2007. So, keep reading to learn more.
Given numbers are 3681,2007
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3681,2007 is 820863.
Find LCM of 3681,2007 with Prime Factorization
| 3 | 3681, 2007 |
| 3 | 1227, 669 |
| 409, 223 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 409 x 223 = 820863
Therefore, the lowest common multiple of 3681,2007 is 820863.
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.
3681 x 2007 = 7387767
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.
3681 : 1, 3, 9, 409, 1227, 3681
2007 : 1, 3, 9, 223, 669, 2007
9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3681,2007, is 9.
Now, the common factors can be found like this.
3681:3x 3x 409
2007:3x 3x 223
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 = 7387767/(9x1)
LCM = 7387767/9
LCM = 820863
Thus, we can understand that the LCM of 3681,2007 is 820863.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3681, 2007?
Answer: LCM of 3681, 2007 is 820863.
2. How to calculate the LCM of 3681, 2007?
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 3681, 2007.
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}.