Find the LCM of 572, 595, 595, 827 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, 595, 595, 827. So, keep reading to learn more.
Given numbers are 572,595,595,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,595,595,827 is 281461180.
Find LCM of 572,595,595,827 with Prime Factorization
5 | 572, 595, 595, 827 |
7 | 572, 119, 119, 827 |
17 | 572, 17, 17, 827 |
572, 1, 1, 827 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 572 x 1 x 1 x 827 = 281461180
Therefore, the lowest common multiple of 572,595,595,827 is 281461180.
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 595 x 595 x 827 = 167469402100
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
595 : 1, 5, 7, 17, 35, 85, 119, 595
595 : 1, 5, 7, 17, 35, 85, 119, 595
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,595,595,827, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
595:5x 7x 17
595:5x 7x 17
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 17 = 595
Therefore, the value for common factors is 595.
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 = 167469402100/(1x595)
LCM = 167469402100/595
LCM = 281461180
Thus, we can understand that the LCM of 572,595,595,827 is 281461180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 595, 595, 827?
Answer: LCM of 572, 595, 595, 827 is 281461180.
2. How to calculate the LCM of 572, 595, 595, 827?
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, 595, 595, 827.
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}.