Find the LCM of 829, 876, 992, 318 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 829, 876, 992, 318. So, keep reading to learn more.
Given numbers are 829,876,992,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,876,992,318 is 9545225376.
Find LCM of 829,876,992,318 with Prime Factorization
2 | 829, 876, 992, 318 |
2 | 829, 438, 496, 159 |
3 | 829, 219, 248, 159 |
829, 73, 248, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 829 x 73 x 248 x 53 = 9545225376
Therefore, the lowest common multiple of 829,876,992,318 is 9545225376.
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.
829 x 876 x 992 x 318 = 229085409024
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.
829 : 1, 829
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,876,992,318, is 1.
Now, the common factors can be found like this.
829:829
876:2x 2x 3x 73
992:2x 2x 2x 2x 2x 31
318:2x 3x 53
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 3 = 24
Therefore, the value for common factors is 24.
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 = 229085409024/(1x24)
LCM = 229085409024/24
LCM = 9545225376
Thus, we can understand that the LCM of 829,876,992,318 is 9545225376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 876, 992, 318?
Answer: LCM of 829, 876, 992, 318 is 9545225376.
2. How to calculate the LCM of 829, 876, 992, 318?
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 829, 876, 992, 318.
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}.