Find the LCM of 500, 394, 437, 591, 652 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 500, 394, 437, 591, 652. So, keep reading to learn more.
Given numbers are 500,394,437,591,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 500,394,437,591,652 is 21048760500.
Find LCM of 500,394,437,591,652 with Prime Factorization
2 | 500, 394, 437, 591, 652 |
2 | 250, 197, 437, 591, 326 |
197 | 125, 197, 437, 591, 163 |
125, 1, 437, 3, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 197 x 125 x 1 x 437 x 3 x 163 = 21048760500
Therefore, the lowest common multiple of 500,394,437,591,652 is 21048760500.
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.
500 x 394 x 437 x 591 x 652 = 33172846548000
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.
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
394 : 1, 2, 197, 394
437 : 1, 19, 23, 437
591 : 1, 3, 197, 591
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,394,437,591,652, is 1.
Now, the common factors can be found like this.
500:2x 2x 5x 5x 5
394:2x 197
437:19x 23
591:3x 197
652:2x 2x 163
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 197 = 1576
Therefore, the value for common factors is 1576.
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 = 33172846548000/(1x1576)
LCM = 33172846548000/1576
LCM = 21048760500
Thus, we can understand that the LCM of 500,394,437,591,652 is 21048760500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 500, 394, 437, 591, 652?
Answer: LCM of 500, 394, 437, 591, 652 is 21048760500.
2. How to calculate the LCM of 500, 394, 437, 591, 652?
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 500, 394, 437, 591, 652.
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}.