Find the LCM of 627, 323, 782, 677 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, 323, 782, 677. So, keep reading to learn more.
Given numbers are 627,323,782,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,323,782,677 is 331942578.
Find LCM of 627,323,782,677 with Prime Factorization
17 | 627, 323, 782, 677 |
19 | 627, 19, 46, 677 |
33, 1, 46, 677 |
Multiply the prime numbers at the bottom and the left side.
17 x 19 x 33 x 1 x 46 x 677 = 331942578
Therefore, the lowest common multiple of 627,323,782,677 is 331942578.
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 323 x 782 x 677 = 107217452694
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
323 : 1, 17, 19, 323
782 : 1, 2, 17, 23, 34, 46, 391, 782
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,323,782,677, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
323:17x 19
782:2x 17x 23
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 19 = 323
Therefore, the value for common factors is 323.
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 = 107217452694/(1x323)
LCM = 107217452694/323
LCM = 331942578
Thus, we can understand that the LCM of 627,323,782,677 is 331942578.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 627, 323, 782, 677?
Answer: LCM of 627, 323, 782, 677 is 331942578.
2. How to calculate the LCM of 627, 323, 782, 677?
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, 323, 782, 677.
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}.