LCM of 783, 962, 225, 793, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 962, 225, 793, 644 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, 962, 225, 793, 644. So, keep reading to learn more.
Given numbers are 783,962,225,793,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,962,225,793,644 is 369881448300.
Find LCM of 783,962,225,793,644 with Prime Factorization
| 2 | 783, 962, 225, 793, 644 |
| 3 | 783, 481, 225, 793, 322 |
| 3 | 261, 481, 75, 793, 322 |
| 13 | 87, 481, 25, 793, 322 |
| 87, 37, 25, 61, 322 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 87 x 37 x 25 x 61 x 322 = 369881448300
Therefore, the lowest common multiple of 783,962,225,793,644 is 369881448300.
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 962 x 225 x 793 x 644 = 86552258902200
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
793 : 1, 13, 61, 793
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,962,225,793,644, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
962:2x 13x 37
225:3x 3x 5x 5
793:13x 61
644:2x 2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 86552258902200/(1x234)
LCM = 86552258902200/234
LCM = 369881448300
Thus, we can understand that the LCM of 783,962,225,793,644 is 369881448300.
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FAQs on LCM of 783, 962, 225, 793, 644
1. What is the LCM of 783, 962, 225, 793, 644?
Answer: LCM of 783, 962, 225, 793, 644 is 369881448300.
2. How to calculate the LCM of 783, 962, 225, 793, 644?
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, 962, 225, 793, 644.
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}.