Find the LCM of 716, 351, 910, 756 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, 351, 910, 756. So, keep reading to learn more.
Given numbers are 716,351,910,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,351,910,756 is 8796060.
Find LCM of 716,351,910,756 with Prime Factorization
2 | 716, 351, 910, 756 |
2 | 358, 351, 455, 378 |
3 | 179, 351, 455, 189 |
3 | 179, 117, 455, 63 |
3 | 179, 39, 455, 21 |
7 | 179, 13, 455, 7 |
13 | 179, 13, 65, 1 |
179, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 7 x 13 x 179 x 1 x 5 x 1 = 8796060
Therefore, the lowest common multiple of 716,351,910,756 is 8796060.
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 351 x 910 x 756 = 172895355360
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
351 : 1, 3, 9, 13, 27, 39, 117, 351
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,351,910,756, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
351:3x 3x 3x 13
910:2x 5x 7x 13
756:2x 2x 3x 3x 3x 7
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 3x 3x 3x 7x 13 = 19656
Therefore, the value for common factors is 19656.
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 = 172895355360/(1x19656)
LCM = 172895355360/19656
LCM = 8796060
Thus, we can understand that the LCM of 716,351,910,756 is 8796060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 716, 351, 910, 756?
Answer: LCM of 716, 351, 910, 756 is 8796060.
2. How to calculate the LCM of 716, 351, 910, 756?
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, 351, 910, 756.
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}.