Find the LCM of 796, 713, 737, 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 796, 713, 737, 209. So, keep reading to learn more.
Given numbers are 796,713,737,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,713,737,209 is 7947374644.
Find LCM of 796,713,737,209 with Prime Factorization
11 | 796, 713, 737, 209 |
796, 713, 67, 19 |
Multiply the prime numbers at the bottom and the left side.
11 x 796 x 713 x 67 x 19 = 7947374644
Therefore, the lowest common multiple of 796,713,737,209 is 7947374644.
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.
796 x 713 x 737 x 209 = 87421121084
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.
796 : 1, 2, 4, 199, 398, 796
713 : 1, 23, 31, 713
737 : 1, 11, 67, 737
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,713,737,209, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
713:23x 31
737:11x 67
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.
11 = 11
Therefore, the value for common factors is 11.
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 = 87421121084/(1x11)
LCM = 87421121084/11
LCM = 7947374644
Thus, we can understand that the LCM of 796,713,737,209 is 7947374644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 796, 713, 737, 209?
Answer: LCM of 796, 713, 737, 209 is 7947374644.
2. How to calculate the LCM of 796, 713, 737, 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 796, 713, 737, 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}.