LCM of 381, 938, 857, 882, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 938, 857, 882, 741 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 381, 938, 857, 882, 741. So, keep reading to learn more.
Given numbers are 381,938,857,882,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,938,857,882,741 is 1588637770902.
Find LCM of 381,938,857,882,741 with Prime Factorization
| 2 | 381, 938, 857, 882, 741 |
| 3 | 381, 469, 857, 441, 741 |
| 7 | 127, 469, 857, 147, 247 |
| 127, 67, 857, 21, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 127 x 67 x 857 x 21 x 247 = 1588637770902
Therefore, the lowest common multiple of 381,938,857,882,741 is 1588637770902.
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.
381 x 938 x 857 x 882 x 741 = 200168359133652
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.
381 : 1, 3, 127, 381
938 : 1, 2, 7, 14, 67, 134, 469, 938
857 : 1, 857
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,938,857,882,741, is 1.
Now, the common factors can be found like this.
381:3x 127
938:2x 7x 67
857:857
882:2x 3x 3x 7x 7
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 200168359133652/(1x126)
LCM = 200168359133652/126
LCM = 1588637770902
Thus, we can understand that the LCM of 381,938,857,882,741 is 1588637770902.
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FAQs on LCM of 381, 938, 857, 882, 741
1. What is the LCM of 381, 938, 857, 882, 741?
Answer: LCM of 381, 938, 857, 882, 741 is 1588637770902.
2. How to calculate the LCM of 381, 938, 857, 882, 741?
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 381, 938, 857, 882, 741.
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}.