Find the LCM of 783, 684, 793, 332, 793 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 783, 684, 793, 332, 793. So, keep reading to learn more.
Given numbers are 783,684,793,332,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,684,793,332,793 is 3916757052.
Find LCM of 783,684,793,332,793 with Prime Factorization
2 | 783, 684, 793, 332, 793 |
2 | 783, 342, 793, 166, 793 |
3 | 783, 171, 793, 83, 793 |
3 | 261, 57, 793, 83, 793 |
13 | 87, 19, 793, 83, 793 |
61 | 87, 19, 61, 83, 61 |
87, 19, 1, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 61 x 87 x 19 x 1 x 83 x 1 = 3916757052
Therefore, the lowest common multiple of 783,684,793,332,793 is 3916757052.
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.
783 x 684 x 793 x 332 x 793 = 111815580320496
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
793 : 1, 13, 61, 793
332 : 1, 2, 4, 83, 166, 332
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,684,793,332,793, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
684:2x 2x 3x 3x 19
793:13x 61
332:2x 2x 83
793:13x 61
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 3x 3x 13x 61 = 28548
Therefore, the value for common factors is 28548.
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 = 111815580320496/(1x28548)
LCM = 111815580320496/28548
LCM = 3916757052
Thus, we can understand that the LCM of 783,684,793,332,793 is 3916757052.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 783, 684, 793, 332, 793?
Answer: LCM of 783, 684, 793, 332, 793 is 3916757052.
2. How to calculate the LCM of 783, 684, 793, 332, 793?
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 783, 684, 793, 332, 793.
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}.