Find the LCM of 3182, 6993 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 3182, 6993. So, keep reading to learn more.
Given numbers are 3182,6993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3182,6993 is 601398.
Find LCM of 3182,6993 with Prime Factorization
| 37 | 3182, 6993 |
| 86, 189 |
Multiply the prime numbers at the bottom and the left side.
37 x 86 x 189 = 601398
Therefore, the lowest common multiple of 3182,6993 is 601398.
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.
3182 x 6993 = 22251726
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.
3182 : 1, 2, 37, 43, 74, 86, 1591, 3182
6993 : 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993
37 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3182,6993, is 37.
Now, the common factors can be found like this.
3182:2x 37x 43
6993:3x 3x 3x 7x 37
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 = 22251726/(37x1)
LCM = 22251726/37
LCM = 601398
Thus, we can understand that the LCM of 3182,6993 is 601398.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3182, 6993?
Answer: LCM of 3182, 6993 is 601398.
2. How to calculate the LCM of 3182, 6993?
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 3182, 6993.
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}.