Find the LCM of 529, 847, 584, 825 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 529, 847, 584, 825. So, keep reading to learn more.
Given numbers are 529,847,584,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,847,584,825 is 19625159400.
Find LCM of 529,847,584,825 with Prime Factorization
11 | 529, 847, 584, 825 |
529, 77, 584, 75 |
Multiply the prime numbers at the bottom and the left side.
11 x 529 x 77 x 584 x 75 = 19625159400
Therefore, the lowest common multiple of 529,847,584,825 is 19625159400.
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.
529 x 847 x 584 x 825 = 215876753400
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.
529 : 1, 23, 529
847 : 1, 7, 11, 77, 121, 847
584 : 1, 2, 4, 8, 73, 146, 292, 584
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,847,584,825, is 1.
Now, the common factors can be found like this.
529:23x 23
847:7x 11x 11
584:2x 2x 2x 73
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 215876753400/(1x11)
LCM = 215876753400/11
LCM = 19625159400
Thus, we can understand that the LCM of 529,847,584,825 is 19625159400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 529, 847, 584, 825?
Answer: LCM of 529, 847, 584, 825 is 19625159400.
2. How to calculate the LCM of 529, 847, 584, 825?
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 529, 847, 584, 825.
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}.