Find the LCM of 572, 104, 424, 559, 829 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 572, 104, 424, 559, 829. So, keep reading to learn more.
Given numbers are 572,104,424,559,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,104,424,559,829 is 2161348904.
Find LCM of 572,104,424,559,829 with Prime Factorization
2 | 572, 104, 424, 559, 829 |
2 | 286, 52, 212, 559, 829 |
2 | 143, 26, 106, 559, 829 |
13 | 143, 13, 53, 559, 829 |
11, 1, 53, 43, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 11 x 1 x 53 x 43 x 829 = 2161348904
Therefore, the lowest common multiple of 572,104,424,559,829 is 2161348904.
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.
572 x 104 x 424 x 559 x 829 = 11688574872832
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
104 : 1, 2, 4, 8, 13, 26, 52, 104
424 : 1, 2, 4, 8, 53, 106, 212, 424
559 : 1, 13, 43, 559
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,104,424,559,829, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
104:2x 2x 2x 13
424:2x 2x 2x 53
559:13x 43
829:829
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 13x 13 = 5408
Therefore, the value for common factors is 5408.
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 = 11688574872832/(1x5408)
LCM = 11688574872832/5408
LCM = 2161348904
Thus, we can understand that the LCM of 572,104,424,559,829 is 2161348904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 104, 424, 559, 829?
Answer: LCM of 572, 104, 424, 559, 829 is 2161348904.
2. How to calculate the LCM of 572, 104, 424, 559, 829?
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 572, 104, 424, 559, 829.
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}.