LCM of 764, 382, 231, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 382, 231, 672 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 764, 382, 231, 672. So, keep reading to learn more.
Given numbers are 764,382,231,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,382,231,672 is 1411872.
Find LCM of 764,382,231,672 with Prime Factorization
| 2 | 764, 382, 231, 672 |
| 2 | 382, 191, 231, 336 |
| 3 | 191, 191, 231, 168 |
| 7 | 191, 191, 77, 56 |
| 191 | 191, 191, 11, 8 |
| 1, 1, 11, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 191 x 1 x 1 x 11 x 8 = 1411872
Therefore, the lowest common multiple of 764,382,231,672 is 1411872.
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.
764 x 382 x 231 x 672 = 45304148736
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.
764 : 1, 2, 4, 191, 382, 764
382 : 1, 2, 191, 382
231 : 1, 3, 7, 11, 21, 33, 77, 231
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,382,231,672, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
382:2x 191
231:3x 7x 11
672:2x 2x 2x 2x 2x 3x 7
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 2x 3x 7x 191 = 32088
Therefore, the value for common factors is 32088.
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 = 45304148736/(1x32088)
LCM = 45304148736/32088
LCM = 1411872
Thus, we can understand that the LCM of 764,382,231,672 is 1411872.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 764, 382, 231, 672
1. What is the LCM of 764, 382, 231, 672?
Answer: LCM of 764, 382, 231, 672 is 1411872.
2. How to calculate the LCM of 764, 382, 231, 672?
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 764, 382, 231, 672.
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}.