LCM of 903, 856, 323, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 856, 323, 459 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 903, 856, 323, 459. So, keep reading to learn more.
Given numbers are 903,856,323,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,856,323,459 is 2247017976.
Find LCM of 903,856,323,459 with Prime Factorization
| 3 | 903, 856, 323, 459 |
| 17 | 301, 856, 323, 153 |
| 301, 856, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 301 x 856 x 19 x 9 = 2247017976
Therefore, the lowest common multiple of 903,856,323,459 is 2247017976.
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.
903 x 856 x 323 x 459 = 114597916776
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
856 : 1, 2, 4, 8, 107, 214, 428, 856
323 : 1, 17, 19, 323
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,856,323,459, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
856:2x 2x 2x 107
323:17x 19
459:3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 114597916776/(1x51)
LCM = 114597916776/51
LCM = 2247017976
Thus, we can understand that the LCM of 903,856,323,459 is 2247017976.
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FAQs on LCM of 903, 856, 323, 459
1. What is the LCM of 903, 856, 323, 459?
Answer: LCM of 903, 856, 323, 459 is 2247017976.
2. How to calculate the LCM of 903, 856, 323, 459?
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 903, 856, 323, 459.
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}.