Find the LCM of 842, 592, 752, 797, 296 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 842, 592, 752, 797, 296. So, keep reading to learn more.
Given numbers are 842,592,752,797,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,592,752,797,296 is 9335981488.
Find LCM of 842,592,752,797,296 with Prime Factorization
2 | 842, 592, 752, 797, 296 |
2 | 421, 296, 376, 797, 148 |
2 | 421, 74, 188, 797, 148 |
2 | 421, 37, 94, 797, 74 |
37 | 421, 37, 47, 797, 37 |
421, 1, 47, 797, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 37 x 421 x 1 x 47 x 797 x 1 = 9335981488
Therefore, the lowest common multiple of 842,592,752,797,296 is 9335981488.
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.
842 x 592 x 752 x 797 x 296 = 88430416654336
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.
842 : 1, 2, 421, 842
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
797 : 1, 797
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,592,752,797,296, is 1.
Now, the common factors can be found like this.
842:2x 421
592:2x 2x 2x 2x 37
752:2x 2x 2x 2x 47
797:797
296:2x 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 2x 2x 37 = 9472
Therefore, the value for common factors is 9472.
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 = 88430416654336/(1x9472)
LCM = 88430416654336/9472
LCM = 9335981488
Thus, we can understand that the LCM of 842,592,752,797,296 is 9335981488.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 842, 592, 752, 797, 296?
Answer: LCM of 842, 592, 752, 797, 296 is 9335981488.
2. How to calculate the LCM of 842, 592, 752, 797, 296?
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 842, 592, 752, 797, 296.
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}.