Find the LCM of 232, 452, 452, 738, 982 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, 452, 452, 738, 982. So, keep reading to learn more.
Given numbers are 232,452,452,738,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,452,452,738,982 is 4749788664.
Find LCM of 232,452,452,738,982 with Prime Factorization
2 | 232, 452, 452, 738, 982 |
2 | 116, 226, 226, 369, 491 |
113 | 58, 113, 113, 369, 491 |
58, 1, 1, 369, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 113 x 58 x 1 x 1 x 369 x 491 = 4749788664
Therefore, the lowest common multiple of 232,452,452,738,982 is 4749788664.
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 452 x 452 x 738 x 982 = 34350471618048
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
452 : 1, 2, 4, 113, 226, 452
452 : 1, 2, 4, 113, 226, 452
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
982 : 1, 2, 491, 982
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,452,452,738,982, is 2.
Now, the common factors can be found like this.
232:2x 2x 2x 29
452:2x 2x 113
452:2x 2x 113
738:2x 3x 3x 41
982:2x 491
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 113 = 3616
Therefore, the value for common factors is 3616.
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 = 34350471618048/(2x3616)
LCM = 34350471618048/7232
LCM = 4749788664
Thus, we can understand that the LCM of 232,452,452,738,982 is 4749788664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 232, 452, 452, 738, 982?
Answer: LCM of 232, 452, 452, 738, 982 is 4749788664.
2. How to calculate the LCM of 232, 452, 452, 738, 982?
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, 452, 452, 738, 982.
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}.