LCM of 233, 741, 737, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 741, 737, 309 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 233, 741, 737, 309. So, keep reading to learn more.
Given numbers are 233,741,737,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,741,737,309 is 13106261883.
Find LCM of 233,741,737,309 with Prime Factorization
| 3 | 233, 741, 737, 309 |
| 233, 247, 737, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 233 x 247 x 737 x 103 = 13106261883
Therefore, the lowest common multiple of 233,741,737,309 is 13106261883.
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.
233 x 741 x 737 x 309 = 39318785649
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.
233 : 1, 233
741 : 1, 3, 13, 19, 39, 57, 247, 741
737 : 1, 11, 67, 737
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,741,737,309, is 1.
Now, the common factors can be found like this.
233:233
741:3x 13x 19
737:11x 67
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 39318785649/(1x3)
LCM = 39318785649/3
LCM = 13106261883
Thus, we can understand that the LCM of 233,741,737,309 is 13106261883.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 233, 741, 737, 309
1. What is the LCM of 233, 741, 737, 309?
Answer: LCM of 233, 741, 737, 309 is 13106261883.
2. How to calculate the LCM of 233, 741, 737, 309?
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 233, 741, 737, 309.
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}.