Find the LCM of 178, 364, 678, 296, 592 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 178, 364, 678, 296, 592. So, keep reading to learn more.
Given numbers are 178,364,678,296,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,364,678,296,592 is 1625372112.
Find LCM of 178,364,678,296,592 with Prime Factorization
2 | 178, 364, 678, 296, 592 |
2 | 89, 182, 339, 148, 296 |
2 | 89, 91, 339, 74, 148 |
37 | 89, 91, 339, 37, 74 |
89, 91, 339, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 89 x 91 x 339 x 1 x 2 = 1625372112
Therefore, the lowest common multiple of 178,364,678,296,592 is 1625372112.
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.
178 x 364 x 678 x 296 x 592 = 7697762322432
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.
178 : 1, 2, 89, 178
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
678 : 1, 2, 3, 6, 113, 226, 339, 678
296 : 1, 2, 4, 8, 37, 74, 148, 296
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,364,678,296,592, is 2.
Now, the common factors can be found like this.
178:2x 89
364:2x 2x 7x 13
678:2x 3x 113
296:2x 2x 2x 37
592:2x 2x 2x 2x 37
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 37 = 2368
Therefore, the value for common factors is 2368.
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 = 7697762322432/(2x2368)
LCM = 7697762322432/4736
LCM = 1625372112
Thus, we can understand that the LCM of 178,364,678,296,592 is 1625372112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 178, 364, 678, 296, 592?
Answer: LCM of 178, 364, 678, 296, 592 is 1625372112.
2. How to calculate the LCM of 178, 364, 678, 296, 592?
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 178, 364, 678, 296, 592.
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}.