LCM of 381, 342, 758, 969, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 342, 758, 969, 938 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, 342, 758, 969, 938. So, keep reading to learn more.
Given numbers are 381,342,758,969,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,342,758,969,938 is 131247427878.
Find LCM of 381,342,758,969,938 with Prime Factorization
| 2 | 381, 342, 758, 969, 938 |
| 3 | 381, 171, 379, 969, 469 |
| 19 | 127, 57, 379, 323, 469 |
| 127, 3, 379, 17, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 127 x 3 x 379 x 17 x 469 = 131247427878
Therefore, the lowest common multiple of 381,342,758,969,938 is 131247427878.
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 342 x 758 x 969 x 938 = 89773240668552
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
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
758 : 1, 2, 379, 758
969 : 1, 3, 17, 19, 51, 57, 323, 969
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,342,758,969,938, is 1.
Now, the common factors can be found like this.
381:3x 127
342:2x 3x 3x 19
758:2x 379
969:3x 17x 19
938:2x 7x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 89773240668552/(1x684)
LCM = 89773240668552/684
LCM = 131247427878
Thus, we can understand that the LCM of 381,342,758,969,938 is 131247427878.
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FAQs on LCM of 381, 342, 758, 969, 938
1. What is the LCM of 381, 342, 758, 969, 938?
Answer: LCM of 381, 342, 758, 969, 938 is 131247427878.
2. How to calculate the LCM of 381, 342, 758, 969, 938?
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, 342, 758, 969, 938.
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}.