Find the LCM of 627, 810, 682, 955 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 627, 810, 682, 955. So, keep reading to learn more.
Given numbers are 627,810,682,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,810,682,955 is 1002366090.
Find LCM of 627,810,682,955 with Prime Factorization
2 | 627, 810, 682, 955 |
3 | 627, 405, 341, 955 |
5 | 209, 135, 341, 955 |
11 | 209, 27, 341, 191 |
19, 27, 31, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 27 x 31 x 191 = 1002366090
Therefore, the lowest common multiple of 627,810,682,955 is 1002366090.
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.
627 x 810 x 682 x 955 = 330780809700
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
682 : 1, 2, 11, 22, 31, 62, 341, 682
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,810,682,955, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
810:2x 3x 3x 3x 3x 5
682:2x 11x 31
955:5x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11 = 330
Therefore, the value for common factors is 330.
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 = 330780809700/(1x330)
LCM = 330780809700/330
LCM = 1002366090
Thus, we can understand that the LCM of 627,810,682,955 is 1002366090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 810, 682, 955?
Answer: LCM of 627, 810, 682, 955 is 1002366090.
2. How to calculate the LCM of 627, 810, 682, 955?
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 627, 810, 682, 955.
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}.