LCM of 195, 939, 738, 378, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 195, 939, 738, 378, 131 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 195, 939, 738, 378, 131. So, keep reading to learn more.
Given numbers are 195,939,738,378,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 195,939,738,378,131 is 41305192110.
Find LCM of 195,939,738,378,131 with Prime Factorization
| 2 | 195, 939, 738, 378, 131 |
| 3 | 195, 939, 369, 189, 131 |
| 3 | 65, 313, 123, 63, 131 |
| 65, 313, 41, 21, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 65 x 313 x 41 x 21 x 131 = 41305192110
Therefore, the lowest common multiple of 195,939,738,378,131 is 41305192110.
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.
195 x 939 x 738 x 378 x 131 = 6691441121820
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.
195 : 1, 3, 5, 13, 15, 39, 65, 195
939 : 1, 3, 313, 939
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,939,738,378,131, is 1.
Now, the common factors can be found like this.
195:3x 5x 13
939:3x 313
738:2x 3x 3x 41
378:2x 3x 3x 3x 7
131:131
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 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 6691441121820/(1x162)
LCM = 6691441121820/162
LCM = 41305192110
Thus, we can understand that the LCM of 195,939,738,378,131 is 41305192110.
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FAQs on LCM of 195, 939, 738, 378, 131
1. What is the LCM of 195, 939, 738, 378, 131?
Answer: LCM of 195, 939, 738, 378, 131 is 41305192110.
2. How to calculate the LCM of 195, 939, 738, 378, 131?
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 195, 939, 738, 378, 131.
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}.