LCM of 671, 591, 938, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 591, 938, 394 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 671, 591, 938, 394. So, keep reading to learn more.
Given numbers are 671,591,938,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,591,938,394 is 371974218.
Find LCM of 671,591,938,394 with Prime Factorization
| 2 | 671, 591, 938, 394 |
| 197 | 671, 591, 469, 197 |
| 671, 3, 469, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 197 x 671 x 3 x 469 x 1 = 371974218
Therefore, the lowest common multiple of 671,591,938,394 is 371974218.
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.
671 x 591 x 938 x 394 = 146557841892
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.
671 : 1, 11, 61, 671
591 : 1, 3, 197, 591
938 : 1, 2, 7, 14, 67, 134, 469, 938
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,591,938,394, is 1.
Now, the common factors can be found like this.
671:11x 61
591:3x 197
938:2x 7x 67
394:2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 197 = 394
Therefore, the value for common factors is 394.
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 = 146557841892/(1x394)
LCM = 146557841892/394
LCM = 371974218
Thus, we can understand that the LCM of 671,591,938,394 is 371974218.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 591, 938, 394
1. What is the LCM of 671, 591, 938, 394?
Answer: LCM of 671, 591, 938, 394 is 371974218.
2. How to calculate the LCM of 671, 591, 938, 394?
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 671, 591, 938, 394.
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}.