LCM of 486, 416, 903, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 416, 903, 519 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 486, 416, 903, 519. So, keep reading to learn more.
Given numbers are 486,416,903,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,416,903,519 is 5263955424.
Find LCM of 486,416,903,519 with Prime Factorization
| 2 | 486, 416, 903, 519 |
| 3 | 243, 208, 903, 519 |
| 81, 208, 301, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 81 x 208 x 301 x 173 = 5263955424
Therefore, the lowest common multiple of 486,416,903,519 is 5263955424.
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.
486 x 416 x 903 x 519 = 94751197632
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
903 : 1, 3, 7, 21, 43, 129, 301, 903
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,416,903,519, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
416:2x 2x 2x 2x 2x 13
903:3x 7x 43
519:3x 173
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 3 = 18
Therefore, the value for common factors is 18.
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 = 94751197632/(1x18)
LCM = 94751197632/18
LCM = 5263955424
Thus, we can understand that the LCM of 486,416,903,519 is 5263955424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 486, 416, 903, 519
1. What is the LCM of 486, 416, 903, 519?
Answer: LCM of 486, 416, 903, 519 is 5263955424.
2. How to calculate the LCM of 486, 416, 903, 519?
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 486, 416, 903, 519.
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}.