Find the LCM of 776, 129, 799, 442, 116 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 776, 129, 799, 442, 116. So, keep reading to learn more.
Given numbers are 776,129,799,442,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,129,799,442,116 is 30153627192.
Find LCM of 776,129,799,442,116 with Prime Factorization
2 | 776, 129, 799, 442, 116 |
2 | 388, 129, 799, 221, 58 |
17 | 194, 129, 799, 221, 29 |
194, 129, 47, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 194 x 129 x 47 x 13 x 29 = 30153627192
Therefore, the lowest common multiple of 776,129,799,442,116 is 30153627192.
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.
776 x 129 x 799 x 442 x 116 = 4100893298112
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
129 : 1, 3, 43, 129
799 : 1, 17, 47, 799
442 : 1, 2, 13, 17, 26, 34, 221, 442
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,129,799,442,116, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
129:3x 43
799:17x 47
442:2x 13x 17
116:2x 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.
2x 2x 2x 17 = 136
Therefore, the value for common factors is 136.
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 = 4100893298112/(1x136)
LCM = 4100893298112/136
LCM = 30153627192
Thus, we can understand that the LCM of 776,129,799,442,116 is 30153627192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 776, 129, 799, 442, 116?
Answer: LCM of 776, 129, 799, 442, 116 is 30153627192.
2. How to calculate the LCM of 776, 129, 799, 442, 116?
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 776, 129, 799, 442, 116.
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}.