LCM of 347, 381, 381, 307, 839
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 381, 381, 307, 839 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, 381, 381, 307, 839. So, keep reading to learn more.
Given numbers are 347,381,381,307,839
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,381,381,307,839 is 34052953611.
Find LCM of 347,381,381,307,839 with Prime Factorization
| 3 | 347, 381, 381, 307, 839 |
| 127 | 347, 127, 127, 307, 839 |
| 347, 1, 1, 307, 839 |
Multiply the prime numbers at the bottom and the left side.
3 x 127 x 347 x 1 x 1 x 307 x 839 = 34052953611
Therefore, the lowest common multiple of 347,381,381,307,839 is 34052953611.
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 381 x 381 x 307 x 839 = 12974175325791
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
381 : 1, 3, 127, 381
381 : 1, 3, 127, 381
307 : 1, 307
839 : 1, 839
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,381,381,307,839, is 1.
Now, the common factors can be found like this.
347:347
381:3x 127
381:3x 127
307:307
839:839
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 127 = 381
Therefore, the value for common factors is 381.
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 = 12974175325791/(1x381)
LCM = 12974175325791/381
LCM = 34052953611
Thus, we can understand that the LCM of 347,381,381,307,839 is 34052953611.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 347, 381, 381, 307, 839
1. What is the LCM of 347, 381, 381, 307, 839?
Answer: LCM of 347, 381, 381, 307, 839 is 34052953611.
2. How to calculate the LCM of 347, 381, 381, 307, 839?
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, 381, 381, 307, 839.
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}.