LCM of 716, 814, 711, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 814, 711, 912 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 716, 814, 711, 912. So, keep reading to learn more.
Given numbers are 716,814,711,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,814,711,912 is 15746738832.
Find LCM of 716,814,711,912 with Prime Factorization
| 2 | 716, 814, 711, 912 |
| 2 | 358, 407, 711, 456 |
| 3 | 179, 407, 711, 228 |
| 179, 407, 237, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 179 x 407 x 237 x 76 = 15746738832
Therefore, the lowest common multiple of 716,814,711,912 is 15746738832.
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.
716 x 814 x 711 x 912 = 377921731968
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.
716 : 1, 2, 4, 179, 358, 716
814 : 1, 2, 11, 22, 37, 74, 407, 814
711 : 1, 3, 9, 79, 237, 711
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,814,711,912, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
814:2x 11x 37
711:3x 3x 79
912:2x 2x 2x 2x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 377921731968/(1x24)
LCM = 377921731968/24
LCM = 15746738832
Thus, we can understand that the LCM of 716,814,711,912 is 15746738832.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 716, 814, 711, 912
1. What is the LCM of 716, 814, 711, 912?
Answer: LCM of 716, 814, 711, 912 is 15746738832.
2. How to calculate the LCM of 716, 814, 711, 912?
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 716, 814, 711, 912.
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}.