LCM of 381, 759, 693, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 759, 693, 187 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, 759, 693, 187. So, keep reading to learn more.
Given numbers are 381,759,693,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,759,693,187 is 34412301.
Find LCM of 381,759,693,187 with Prime Factorization
| 3 | 381, 759, 693, 187 |
| 11 | 127, 253, 231, 187 |
| 127, 23, 21, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 127 x 23 x 21 x 17 = 34412301
Therefore, the lowest common multiple of 381,759,693,187 is 34412301.
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 759 x 693 x 187 = 37474995789
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,759,693,187, is 1.
Now, the common factors can be found like this.
381:3x 127
759:3x 11x 23
693:3x 3x 7x 11
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 37474995789/(1x1089)
LCM = 37474995789/1089
LCM = 34412301
Thus, we can understand that the LCM of 381,759,693,187 is 34412301.
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FAQs on LCM of 381, 759, 693, 187
1. What is the LCM of 381, 759, 693, 187?
Answer: LCM of 381, 759, 693, 187 is 34412301.
2. How to calculate the LCM of 381, 759, 693, 187?
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, 759, 693, 187.
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}.