Find the LCM of 931, 219, 481, 209, 941 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 931, 219, 481, 209, 941. So, keep reading to learn more.
Given numbers are 931,219,481,209,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,219,481,209,941 is 1015128873759.
Find LCM of 931,219,481,209,941 with Prime Factorization
19 | 931, 219, 481, 209, 941 |
49, 219, 481, 11, 941 |
Multiply the prime numbers at the bottom and the left side.
19 x 49 x 219 x 481 x 11 x 941 = 1015128873759
Therefore, the lowest common multiple of 931,219,481,209,941 is 1015128873759.
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.
931 x 219 x 481 x 209 x 941 = 19287448601421
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.
931 : 1, 7, 19, 49, 133, 931
219 : 1, 3, 73, 219
481 : 1, 13, 37, 481
209 : 1, 11, 19, 209
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,219,481,209,941, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
219:3x 73
481:13x 37
209:11x 19
941:941
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 19287448601421/(1x19)
LCM = 19287448601421/19
LCM = 1015128873759
Thus, we can understand that the LCM of 931,219,481,209,941 is 1015128873759.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 931, 219, 481, 209, 941?
Answer: LCM of 931, 219, 481, 209, 941 is 1015128873759.
2. How to calculate the LCM of 931, 219, 481, 209, 941?
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 931, 219, 481, 209, 941.
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}.