LCM of 510, 187, 400, 913, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 187, 400, 913, 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 510, 187, 400, 913, 825. So, keep reading to learn more.
Given numbers are 510,187,400,913,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,187,400,913,825 is 18625200.
Find LCM of 510,187,400,913,825 with Prime Factorization
| 2 | 510, 187, 400, 913, 825 |
| 3 | 255, 187, 200, 913, 825 |
| 5 | 85, 187, 200, 913, 275 |
| 5 | 17, 187, 40, 913, 55 |
| 11 | 17, 187, 8, 913, 11 |
| 17 | 17, 17, 8, 83, 1 |
| 1, 1, 8, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 11 x 17 x 1 x 1 x 8 x 83 x 1 = 18625200
Therefore, the lowest common multiple of 510,187,400,913,825 is 18625200.
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.
510 x 187 x 400 x 913 x 825 = 28734027300000
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
187 : 1, 11, 17, 187
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
913 : 1, 11, 83, 913
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 510,187,400,913,825, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
187:11x 17
400:2x 2x 2x 2x 5x 5
913:11x 83
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 3x 5x 5x 5x 11x 11x 17 = 1542750
Therefore, the value for common factors is 1542750.
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 = 28734027300000/(1x1542750)
LCM = 28734027300000/1542750
LCM = 18625200
Thus, we can understand that the LCM of 510,187,400,913,825 is 18625200.
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FAQs on LCM of 510, 187, 400, 913, 825
1. What is the LCM of 510, 187, 400, 913, 825?
Answer: LCM of 510, 187, 400, 913, 825 is 18625200.
2. How to calculate the LCM of 510, 187, 400, 913, 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 510, 187, 400, 913, 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}.