Find the LCM of 3647, 1323 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 3647, 1323. So, keep reading to learn more.
Given numbers are 3647,1323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3647,1323 is 689283.
Find LCM of 3647,1323 with Prime Factorization
| 7 | 3647, 1323 |
| 521, 189 |
Multiply the prime numbers at the bottom and the left side.
7 x 521 x 189 = 689283
Therefore, the lowest common multiple of 3647,1323 is 689283.
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.
3647 x 1323 = 4824981
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.
3647 : 1, 7, 521, 3647
1323 : 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 441, 1323
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3647,1323, is 7.
Now, the common factors can be found like this.
3647:7x 521
1323:3x 3x 3x 7x 7
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 = 4824981/(7x1)
LCM = 4824981/7
LCM = 689283
Thus, we can understand that the LCM of 3647,1323 is 689283.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3647, 1323?
Answer: LCM of 3647, 1323 is 689283.
2. How to calculate the LCM of 3647, 1323?
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 3647, 1323.
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}.