Find the LCM of 687, 895, 841, 464 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 687, 895, 841, 464. So, keep reading to learn more.
Given numbers are 687,895,841,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,895,841,464 is 8273623440.
Find LCM of 687,895,841,464 with Prime Factorization
29 | 687, 895, 841, 464 |
687, 895, 29, 16 |
Multiply the prime numbers at the bottom and the left side.
29 x 687 x 895 x 29 x 16 = 8273623440
Therefore, the lowest common multiple of 687,895,841,464 is 8273623440.
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.
687 x 895 x 841 x 464 = 239935079760
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.
687 : 1, 3, 229, 687
895 : 1, 5, 179, 895
841 : 1, 29, 841
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,895,841,464, is 1.
Now, the common factors can be found like this.
687:3x 229
895:5x 179
841:29x 29
464:2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 239935079760/(1x29)
LCM = 239935079760/29
LCM = 8273623440
Thus, we can understand that the LCM of 687,895,841,464 is 8273623440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 687, 895, 841, 464?
Answer: LCM of 687, 895, 841, 464 is 8273623440.
2. How to calculate the LCM of 687, 895, 841, 464?
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 687, 895, 841, 464.
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}.