Find the LCM of 523, 895, 782, 998, 750 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 523, 895, 782, 998, 750. So, keep reading to learn more.
Given numbers are 523,895,782,998,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,895,782,998,750 is 13699139439750.
Find LCM of 523,895,782,998,750 with Prime Factorization
2 | 523, 895, 782, 998, 750 |
5 | 523, 895, 391, 499, 375 |
523, 179, 391, 499, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 523 x 179 x 391 x 499 x 75 = 13699139439750
Therefore, the lowest common multiple of 523,895,782,998,750 is 13699139439750.
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.
523 x 895 x 782 x 998 x 750 = 273982788795000
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.
523 : 1, 523
895 : 1, 5, 179, 895
782 : 1, 2, 17, 23, 34, 46, 391, 782
998 : 1, 2, 499, 998
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,895,782,998,750, is 1.
Now, the common factors can be found like this.
523:523
895:5x 179
782:2x 17x 23
998:2x 499
750:2x 3x 5x 5x 5
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 5 = 20
Therefore, the value for common factors is 20.
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 = 273982788795000/(1x20)
LCM = 273982788795000/20
LCM = 13699139439750
Thus, we can understand that the LCM of 523,895,782,998,750 is 13699139439750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 523, 895, 782, 998, 750?
Answer: LCM of 523, 895, 782, 998, 750 is 13699139439750.
2. How to calculate the LCM of 523, 895, 782, 998, 750?
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 523, 895, 782, 998, 750.
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}.