Find the LCM of 232, 308, 328, 764, 986 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 232, 308, 328, 764, 986. So, keep reading to learn more.
Given numbers are 232,308,328,764,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,308,328,764,986 is 2378180728.
Find LCM of 232,308,328,764,986 with Prime Factorization
2 | 232, 308, 328, 764, 986 |
2 | 116, 154, 164, 382, 493 |
2 | 58, 77, 82, 191, 493 |
29 | 29, 77, 41, 191, 493 |
1, 77, 41, 191, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 1 x 77 x 41 x 191 x 17 = 2378180728
Therefore, the lowest common multiple of 232,308,328,764,986 is 2378180728.
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.
232 x 308 x 328 x 764 x 986 = 17655613724672
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
328 : 1, 2, 4, 8, 41, 82, 164, 328
764 : 1, 2, 4, 191, 382, 764
986 : 1, 2, 17, 29, 34, 58, 493, 986
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,308,328,764,986, is 2.
Now, the common factors can be found like this.
232:2x 2x 2x 29
308:2x 2x 7x 11
328:2x 2x 2x 41
764:2x 2x 191
986:2x 17x 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 2x 2x 2x 2x 29 = 3712
Therefore, the value for common factors is 3712.
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 = 17655613724672/(2x3712)
LCM = 17655613724672/7424
LCM = 2378180728
Thus, we can understand that the LCM of 232,308,328,764,986 is 2378180728.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 308, 328, 764, 986?
Answer: LCM of 232, 308, 328, 764, 986 is 2378180728.
2. How to calculate the LCM of 232, 308, 328, 764, 986?
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 232, 308, 328, 764, 986.
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}.