Find the LCM of 389, 507, 369, 687 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 389, 507, 369, 687. So, keep reading to learn more.
Given numbers are 389,507,369,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,507,369,687 is 5555180241.
Find LCM of 389,507,369,687 with Prime Factorization
3 | 389, 507, 369, 687 |
389, 169, 123, 229 |
Multiply the prime numbers at the bottom and the left side.
3 x 389 x 169 x 123 x 229 = 5555180241
Therefore, the lowest common multiple of 389,507,369,687 is 5555180241.
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.
389 x 507 x 369 x 687 = 49996622169
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.
389 : 1, 389
507 : 1, 3, 13, 39, 169, 507
369 : 1, 3, 9, 41, 123, 369
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,507,369,687, is 1.
Now, the common factors can be found like this.
389:389
507:3x 13x 13
369:3x 3x 41
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 49996622169/(1x9)
LCM = 49996622169/9
LCM = 5555180241
Thus, we can understand that the LCM of 389,507,369,687 is 5555180241.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 389, 507, 369, 687?
Answer: LCM of 389, 507, 369, 687 is 5555180241.
2. How to calculate the LCM of 389, 507, 369, 687?
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 389, 507, 369, 687.
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}.