LCM of 347, 231, 231, 913, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 231, 231, 913, 807 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 347, 231, 231, 913, 807. So, keep reading to learn more.
Given numbers are 347,231,231,913,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,231,231,913,807 is 1789665339.
Find LCM of 347,231,231,913,807 with Prime Factorization
| 3 | 347, 231, 231, 913, 807 |
| 7 | 347, 77, 77, 913, 269 |
| 11 | 347, 11, 11, 913, 269 |
| 347, 1, 1, 83, 269 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 347 x 1 x 1 x 83 x 269 = 1789665339
Therefore, the lowest common multiple of 347,231,231,913,807 is 1789665339.
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.
347 x 231 x 231 x 913 x 807 = 13642618879197
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.
347 : 1, 347
231 : 1, 3, 7, 11, 21, 33, 77, 231
231 : 1, 3, 7, 11, 21, 33, 77, 231
913 : 1, 11, 83, 913
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,231,231,913,807, is 1.
Now, the common factors can be found like this.
347:347
231:3x 7x 11
231:3x 7x 11
913:11x 83
807:3x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 11x 11 = 7623
Therefore, the value for common factors is 7623.
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 = 13642618879197/(1x7623)
LCM = 13642618879197/7623
LCM = 1789665339
Thus, we can understand that the LCM of 347,231,231,913,807 is 1789665339.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 347, 231, 231, 913, 807
1. What is the LCM of 347, 231, 231, 913, 807?
Answer: LCM of 347, 231, 231, 913, 807 is 1789665339.
2. How to calculate the LCM of 347, 231, 231, 913, 807?
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 347, 231, 231, 913, 807.
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}.