Find the LCM of 463, 764, 876, 382 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 463, 764, 876, 382. So, keep reading to learn more.
Given numbers are 463,764,876,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,764,876,382 is 77467308.
Find LCM of 463,764,876,382 with Prime Factorization
2 | 463, 764, 876, 382 |
2 | 463, 382, 438, 191 |
191 | 463, 191, 219, 191 |
463, 1, 219, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 463 x 1 x 219 x 1 = 77467308
Therefore, the lowest common multiple of 463,764,876,382 is 77467308.
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.
463 x 764 x 876 x 382 = 118370046624
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.
463 : 1, 463
764 : 1, 2, 4, 191, 382, 764
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,764,876,382, is 1.
Now, the common factors can be found like this.
463:463
764:2x 2x 191
876:2x 2x 3x 73
382:2x 191
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 191 = 1528
Therefore, the value for common factors is 1528.
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 = 118370046624/(1x1528)
LCM = 118370046624/1528
LCM = 77467308
Thus, we can understand that the LCM of 463,764,876,382 is 77467308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 764, 876, 382?
Answer: LCM of 463, 764, 876, 382 is 77467308.
2. How to calculate the LCM of 463, 764, 876, 382?
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 463, 764, 876, 382.
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}.