LCM of 309, 234, 793, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 234, 793, 948 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 309, 234, 793, 948. So, keep reading to learn more.
Given numbers are 309,234,793,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,234,793,948 is 232295076.
Find LCM of 309,234,793,948 with Prime Factorization
| 2 | 309, 234, 793, 948 |
| 3 | 309, 117, 793, 474 |
| 13 | 103, 39, 793, 158 |
| 103, 3, 61, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 103 x 3 x 61 x 158 = 232295076
Therefore, the lowest common multiple of 309,234,793,948 is 232295076.
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.
309 x 234 x 793 x 948 = 54357047784
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.
309 : 1, 3, 103, 309
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
793 : 1, 13, 61, 793
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,234,793,948, is 1.
Now, the common factors can be found like this.
309:3x 103
234:2x 3x 3x 13
793:13x 61
948:2x 2x 3x 79
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 = 54357047784/(1x234)
LCM = 54357047784/234
LCM = 232295076
Thus, we can understand that the LCM of 309,234,793,948 is 232295076.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 309, 234, 793, 948
1. What is the LCM of 309, 234, 793, 948?
Answer: LCM of 309, 234, 793, 948 is 232295076.
2. How to calculate the LCM of 309, 234, 793, 948?
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 309, 234, 793, 948.
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}.