Find the LCM of 424, 856, 442, 626, 348 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 424, 856, 442, 626, 348. So, keep reading to learn more.
Given numbers are 424,856,442,626,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,856,442,626,348 is 273026937768.
Find LCM of 424,856,442,626,348 with Prime Factorization
2 | 424, 856, 442, 626, 348 |
2 | 212, 428, 221, 313, 174 |
2 | 106, 214, 221, 313, 87 |
53, 107, 221, 313, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 107 x 221 x 313 x 87 = 273026937768
Therefore, the lowest common multiple of 424,856,442,626,348 is 273026937768.
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.
424 x 856 x 442 x 626 x 348 = 34947448034304
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
856 : 1, 2, 4, 8, 107, 214, 428, 856
442 : 1, 2, 13, 17, 26, 34, 221, 442
626 : 1, 2, 313, 626
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,856,442,626,348, is 2.
Now, the common factors can be found like this.
424:2x 2x 2x 53
856:2x 2x 2x 107
442:2x 13x 17
626:2x 313
348:2x 2x 3x 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 2 = 64
Therefore, the value for common factors is 64.
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 = 34947448034304/(2x64)
LCM = 34947448034304/128
LCM = 273026937768
Thus, we can understand that the LCM of 424,856,442,626,348 is 273026937768.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 424, 856, 442, 626, 348?
Answer: LCM of 424, 856, 442, 626, 348 is 273026937768.
2. How to calculate the LCM of 424, 856, 442, 626, 348?
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 424, 856, 442, 626, 348.
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}.