Find the LCM of 793, 203, 873, 624, 416 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 793, 203, 873, 624, 416. So, keep reading to learn more.
Given numbers are 793,203,873,624,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,203,873,624,416 is 4497109344.
Find LCM of 793,203,873,624,416 with Prime Factorization
2 | 793, 203, 873, 624, 416 |
2 | 793, 203, 873, 312, 208 |
2 | 793, 203, 873, 156, 104 |
2 | 793, 203, 873, 78, 52 |
3 | 793, 203, 873, 39, 26 |
13 | 793, 203, 291, 13, 26 |
61, 203, 291, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 61 x 203 x 291 x 1 x 2 = 4497109344
Therefore, the lowest common multiple of 793,203,873,624,416 is 4497109344.
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.
793 x 203 x 873 x 624 x 416 = 36480550998528
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.
793 : 1, 13, 61, 793
203 : 1, 7, 29, 203
873 : 1, 3, 9, 97, 291, 873
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,203,873,624,416, is 1.
Now, the common factors can be found like this.
793:13x 61
203:7x 29
873:3x 3x 97
624:2x 2x 2x 2x 3x 13
416:2x 2x 2x 2x 2x 13
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 3x 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 36480550998528/(1x8112)
LCM = 36480550998528/8112
LCM = 4497109344
Thus, we can understand that the LCM of 793,203,873,624,416 is 4497109344.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 793, 203, 873, 624, 416?
Answer: LCM of 793, 203, 873, 624, 416 is 4497109344.
2. How to calculate the LCM of 793, 203, 873, 624, 416?
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 793, 203, 873, 624, 416.
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}.