Find the LCM of 213, 873, 485, 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 213, 873, 485, 677. So, keep reading to learn more.
Given numbers are 213,873,485,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,873,485,677 is 209812455.
Find LCM of 213,873,485,677 with Prime Factorization
3 | 213, 873, 485, 677 |
97 | 71, 291, 485, 677 |
71, 3, 5, 677 |
Multiply the prime numbers at the bottom and the left side.
3 x 97 x 71 x 3 x 5 x 677 = 209812455
Therefore, the lowest common multiple of 213,873,485,677 is 209812455.
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.
213 x 873 x 485 x 677 = 61055424405
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.
213 : 1, 3, 71, 213
873 : 1, 3, 9, 97, 291, 873
485 : 1, 5, 97, 485
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,873,485,677, is 1.
Now, the common factors can be found like this.
213:3x 71
873:3x 3x 97
485:5x 97
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.
3x 97 = 291
Therefore, the value for common factors is 291.
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 = 61055424405/(1x291)
LCM = 61055424405/291
LCM = 209812455
Thus, we can understand that the LCM of 213,873,485,677 is 209812455.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 213, 873, 485, 677?
Answer: LCM of 213, 873, 485, 677 is 209812455.
2. How to calculate the LCM of 213, 873, 485, 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 213, 873, 485, 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}.