Find the LCM of 763, 819, 682, 176 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 763, 819, 682, 176. So, keep reading to learn more.
Given numbers are 763,819,682,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,819,682,176 is 487062576.
Find LCM of 763,819,682,176 with Prime Factorization
2 | 763, 819, 682, 176 |
7 | 763, 819, 341, 88 |
11 | 109, 117, 341, 88 |
109, 117, 31, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 109 x 117 x 31 x 8 = 487062576
Therefore, the lowest common multiple of 763,819,682,176 is 487062576.
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.
763 x 819 x 682 x 176 = 75007636704
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.
763 : 1, 7, 109, 763
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
682 : 1, 2, 11, 22, 31, 62, 341, 682
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,819,682,176, is 1.
Now, the common factors can be found like this.
763:7x 109
819:3x 3x 7x 13
682:2x 11x 31
176:2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 11 = 154
Therefore, the value for common factors is 154.
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 = 75007636704/(1x154)
LCM = 75007636704/154
LCM = 487062576
Thus, we can understand that the LCM of 763,819,682,176 is 487062576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 763, 819, 682, 176?
Answer: LCM of 763, 819, 682, 176 is 487062576.
2. How to calculate the LCM of 763, 819, 682, 176?
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 763, 819, 682, 176.
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}.