Find the LCM of 464, 776, 232, 873 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 464, 776, 232, 873. So, keep reading to learn more.
Given numbers are 464,776,232,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,776,232,873 is 405072.
Find LCM of 464,776,232,873 with Prime Factorization
2 | 464, 776, 232, 873 |
2 | 232, 388, 116, 873 |
2 | 58, 194, 116, 873 |
29 | 29, 97, 58, 873 |
97 | 1, 97, 2, 873 |
1, 1, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 97 x 1 x 1 x 2 x 9 = 405072
Therefore, the lowest common multiple of 464,776,232,873 is 405072.
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.
464 x 776 x 232 x 873 = 72925922304
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
776 : 1, 2, 4, 8, 97, 194, 388, 776
232 : 1, 2, 4, 8, 29, 58, 116, 232
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,776,232,873, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
776:2x 2x 2x 97
232:2x 2x 2x 29
873:3x 3x 97
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 2x 2x 2x 29x 97 = 180032
Therefore, the value for common factors is 180032.
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 = 72925922304/(1x180032)
LCM = 72925922304/180032
LCM = 405072
Thus, we can understand that the LCM of 464,776,232,873 is 405072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 464, 776, 232, 873?
Answer: LCM of 464, 776, 232, 873 is 405072.
2. How to calculate the LCM of 464, 776, 232, 873?
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 464, 776, 232, 873.
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}.