Find the LCM of 764, 183, 332, 793, 764 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 764, 183, 332, 793, 764. So, keep reading to learn more.
Given numbers are 764,183,332,793,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,183,332,793,764 is 150857148.
Find LCM of 764,183,332,793,764 with Prime Factorization
2 | 764, 183, 332, 793, 764 |
2 | 382, 183, 166, 793, 382 |
61 | 191, 183, 83, 793, 191 |
191 | 191, 3, 83, 13, 191 |
1, 3, 83, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 61 x 191 x 1 x 3 x 83 x 13 x 1 = 150857148
Therefore, the lowest common multiple of 764,183,332,793,764 is 150857148.
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.
764 x 183 x 332 x 793 x 764 = 28122186101568
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.
764 : 1, 2, 4, 191, 382, 764
183 : 1, 3, 61, 183
332 : 1, 2, 4, 83, 166, 332
793 : 1, 13, 61, 793
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,183,332,793,764, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
183:3x 61
332:2x 2x 83
793:13x 61
764:2x 2x 191
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 2x 61x 191 = 186416
Therefore, the value for common factors is 186416.
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 = 28122186101568/(1x186416)
LCM = 28122186101568/186416
LCM = 150857148
Thus, we can understand that the LCM of 764,183,332,793,764 is 150857148.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 183, 332, 793, 764?
Answer: LCM of 764, 183, 332, 793, 764 is 150857148.
2. How to calculate the LCM of 764, 183, 332, 793, 764?
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 764, 183, 332, 793, 764.
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}.