Find the LCM of 870, 401, 481, 923 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 870, 401, 481, 923. So, keep reading to learn more.
Given numbers are 870,401,481,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 870,401,481,923 is 11914259370.
Find LCM of 870,401,481,923 with Prime Factorization
13 | 870, 401, 481, 923 |
870, 401, 37, 71 |
Multiply the prime numbers at the bottom and the left side.
13 x 870 x 401 x 37 x 71 = 11914259370
Therefore, the lowest common multiple of 870,401,481,923 is 11914259370.
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.
870 x 401 x 481 x 923 = 154885371810
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.
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
401 : 1, 401
481 : 1, 13, 37, 481
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,401,481,923, is 1.
Now, the common factors can be found like this.
870:2x 3x 5x 29
401:401
481:13x 37
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 154885371810/(1x13)
LCM = 154885371810/13
LCM = 11914259370
Thus, we can understand that the LCM of 870,401,481,923 is 11914259370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 870, 401, 481, 923?
Answer: LCM of 870, 401, 481, 923 is 11914259370.
2. How to calculate the LCM of 870, 401, 481, 923?
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 870, 401, 481, 923.
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}.