LCM of 590, 874, 500, 968, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 874, 500, 968, 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 590, 874, 500, 968, 825. So, keep reading to learn more.
Given numbers are 590,874,500,968,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,874,500,968,825 is 9359229000.
Find LCM of 590,874,500,968,825 with Prime Factorization
| 2 | 590, 874, 500, 968, 825 |
| 2 | 295, 437, 250, 484, 825 |
| 5 | 295, 437, 125, 242, 825 |
| 5 | 59, 437, 25, 242, 165 |
| 11 | 59, 437, 5, 242, 33 |
| 59, 437, 5, 22, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 11 x 59 x 437 x 5 x 22 x 3 = 9359229000
Therefore, the lowest common multiple of 590,874,500,968,825 is 9359229000.
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.
590 x 874 x 500 x 968 x 825 = 205903038000000
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
874 : 1, 2, 19, 23, 38, 46, 437, 874
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
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 590,874,500,968,825, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
874:2x 19x 23
500:2x 2x 5x 5x 5
968:2x 2x 2x 11x 11
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.
2x 2x 2x 2x 5x 5x 5x 11 = 22000
Therefore, the value for common factors is 22000.
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 = 205903038000000/(1x22000)
LCM = 205903038000000/22000
LCM = 9359229000
Thus, we can understand that the LCM of 590,874,500,968,825 is 9359229000.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 590, 874, 500, 968, 825
1. What is the LCM of 590, 874, 500, 968, 825?
Answer: LCM of 590, 874, 500, 968, 825 is 9359229000.
2. How to calculate the LCM of 590, 874, 500, 968, 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 590, 874, 500, 968, 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}.