Find the LCM of 838, 374, 678, 404, 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 838, 374, 678, 404, 592. So, keep reading to learn more.
Given numbers are 838,374,678,404,592
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,374,678,404,592 is 1588175193264.
Find LCM of 838,374,678,404,592 with Prime Factorization
2 | 838, 374, 678, 404, 592 |
2 | 419, 187, 339, 202, 296 |
419, 187, 339, 101, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 419 x 187 x 339 x 101 x 148 = 1588175193264
Therefore, the lowest common multiple of 838,374,678,404,592 is 1588175193264.
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.
838 x 374 x 678 x 404 x 592 = 50821606184448
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.
838 : 1, 2, 419, 838
374 : 1, 2, 11, 17, 22, 34, 187, 374
678 : 1, 2, 3, 6, 113, 226, 339, 678
404 : 1, 2, 4, 101, 202, 404
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 838,374,678,404,592, is 2.
Now, the common factors can be found like this.
838:2x 419
374:2x 11x 17
678:2x 3x 113
404:2x 2x 101
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 2 = 16
Therefore, the value for common factors is 16.
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 = 50821606184448/(2x16)
LCM = 50821606184448/32
LCM = 1588175193264
Thus, we can understand that the LCM of 838,374,678,404,592 is 1588175193264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 838, 374, 678, 404, 592?
Answer: LCM of 838, 374, 678, 404, 592 is 1588175193264.
2. How to calculate the LCM of 838, 374, 678, 404, 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 838, 374, 678, 404, 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}.