LCM of 325, 481, 816, 962, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 325, 481, 816, 962, 903 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 325, 481, 816, 962, 903. So, keep reading to learn more.
Given numbers are 325,481,816,962,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,481,816,962,903 is 2953532400.
Find LCM of 325,481,816,962,903 with Prime Factorization
| 2 | 325, 481, 816, 962, 903 |
| 3 | 325, 481, 408, 481, 903 |
| 13 | 325, 481, 136, 481, 301 |
| 37 | 25, 37, 136, 37, 301 |
| 25, 1, 136, 1, 301 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 37 x 25 x 1 x 136 x 1 x 301 = 2953532400
Therefore, the lowest common multiple of 325,481,816,962,903 is 2953532400.
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.
325 x 481 x 816 x 962 x 903 = 110810628583200
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.
325 : 1, 5, 13, 25, 65, 325
481 : 1, 13, 37, 481
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
962 : 1, 2, 13, 26, 37, 74, 481, 962
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,481,816,962,903, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
481:13x 37
816:2x 2x 2x 2x 3x 17
962:2x 13x 37
903:3x 7x 43
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 13x 13x 37 = 37518
Therefore, the value for common factors is 37518.
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 = 110810628583200/(1x37518)
LCM = 110810628583200/37518
LCM = 2953532400
Thus, we can understand that the LCM of 325,481,816,962,903 is 2953532400.
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FAQs on LCM of 325, 481, 816, 962, 903
1. What is the LCM of 325, 481, 816, 962, 903?
Answer: LCM of 325, 481, 816, 962, 903 is 2953532400.
2. How to calculate the LCM of 325, 481, 816, 962, 903?
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 325, 481, 816, 962, 903.
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}.