Find the LCM of 812, 957, 493, 505, 209 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 812, 957, 493, 505, 209. So, keep reading to learn more.
Given numbers are 812,957,493,505,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,957,493,505,209 is 4370829540.
Find LCM of 812,957,493,505,209 with Prime Factorization
11 | 812, 957, 493, 505, 209 |
29 | 812, 87, 493, 505, 19 |
28, 3, 17, 505, 19 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 28 x 3 x 17 x 505 x 19 = 4370829540
Therefore, the lowest common multiple of 812,957,493,505,209 is 4370829540.
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.
812 x 957 x 493 x 505 x 209 = 40434544074540
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
957 : 1, 3, 11, 29, 33, 87, 319, 957
493 : 1, 17, 29, 493
505 : 1, 5, 101, 505
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,957,493,505,209, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
957:3x 11x 29
493:17x 29
505:5x 101
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29x 29 = 9251
Therefore, the value for common factors is 9251.
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 = 40434544074540/(1x9251)
LCM = 40434544074540/9251
LCM = 4370829540
Thus, we can understand that the LCM of 812,957,493,505,209 is 4370829540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 812, 957, 493, 505, 209?
Answer: LCM of 812, 957, 493, 505, 209 is 4370829540.
2. How to calculate the LCM of 812, 957, 493, 505, 209?
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 812, 957, 493, 505, 209.
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}.