LCM of 347, 231, 931, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 231, 931, 209 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, 931, 209. So, keep reading to learn more.
Given numbers are 347,231,931,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,231,931,209 is 10660881.
Find LCM of 347,231,931,209 with Prime Factorization
| 7 | 347, 231, 931, 209 |
| 11 | 347, 33, 133, 209 |
| 19 | 347, 3, 133, 19 |
| 347, 3, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 19 x 347 x 3 x 7 x 1 = 10660881
Therefore, the lowest common multiple of 347,231,931,209 is 10660881.
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 931 x 209 = 15596868903
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
931 : 1, 7, 19, 49, 133, 931
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,231,931,209, is 1.
Now, the common factors can be found like this.
347:347
231:3x 7x 11
931:7x 7x 19
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 19 = 1463
Therefore, the value for common factors is 1463.
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 = 15596868903/(1x1463)
LCM = 15596868903/1463
LCM = 10660881
Thus, we can understand that the LCM of 347,231,931,209 is 10660881.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 347, 231, 931, 209
1. What is the LCM of 347, 231, 931, 209?
Answer: LCM of 347, 231, 931, 209 is 10660881.
2. How to calculate the LCM of 347, 231, 931, 209?
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, 931, 209.
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}.