Find the LCM of 677, 845, 923, 663 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 677, 845, 923, 663. So, keep reading to learn more.
Given numbers are 677,845,923,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,845,923,663 is 2071447365.
Find LCM of 677,845,923,663 with Prime Factorization
13 | 677, 845, 923, 663 |
677, 65, 71, 51 |
Multiply the prime numbers at the bottom and the left side.
13 x 677 x 65 x 71 x 51 = 2071447365
Therefore, the lowest common multiple of 677,845,923,663 is 2071447365.
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.
677 x 845 x 923 x 663 = 350074604685
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.
677 : 1, 677
845 : 1, 5, 13, 65, 169, 845
923 : 1, 13, 71, 923
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,845,923,663, is 1.
Now, the common factors can be found like this.
677:677
845:5x 13x 13
923:13x 71
663:3x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 350074604685/(1x169)
LCM = 350074604685/169
LCM = 2071447365
Thus, we can understand that the LCM of 677,845,923,663 is 2071447365.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 677, 845, 923, 663?
Answer: LCM of 677, 845, 923, 663 is 2071447365.
2. How to calculate the LCM of 677, 845, 923, 663?
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 677, 845, 923, 663.
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}.