LCM of 205, 651, 889, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 651, 889, 381 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 205, 651, 889, 381. So, keep reading to learn more.
Given numbers are 205,651,889,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,651,889,381 is 16948785.
Find LCM of 205,651,889,381 with Prime Factorization
| 3 | 205, 651, 889, 381 |
| 7 | 205, 217, 889, 127 |
| 127 | 205, 31, 127, 127 |
| 205, 31, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 127 x 205 x 31 x 1 x 1 = 16948785
Therefore, the lowest common multiple of 205,651,889,381 is 16948785.
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.
205 x 651 x 889 x 381 = 45202409595
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.
205 : 1, 5, 41, 205
651 : 1, 3, 7, 21, 31, 93, 217, 651
889 : 1, 7, 127, 889
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,651,889,381, is 1.
Now, the common factors can be found like this.
205:5x 41
651:3x 7x 31
889:7x 127
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 127 = 2667
Therefore, the value for common factors is 2667.
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 = 45202409595/(1x2667)
LCM = 45202409595/2667
LCM = 16948785
Thus, we can understand that the LCM of 205,651,889,381 is 16948785.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 205, 651, 889, 381
1. What is the LCM of 205, 651, 889, 381?
Answer: LCM of 205, 651, 889, 381 is 16948785.
2. How to calculate the LCM of 205, 651, 889, 381?
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 205, 651, 889, 381.
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}.