LCM of 519, 962, 494, 240, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 962, 494, 240, 323 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 519, 962, 494, 240, 323. So, keep reading to learn more.
Given numbers are 519,962,494,240,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,962,494,240,323 is 6450671760.
Find LCM of 519,962,494,240,323 with Prime Factorization
| 2 | 519, 962, 494, 240, 323 |
| 3 | 519, 481, 247, 120, 323 |
| 13 | 173, 481, 247, 40, 323 |
| 19 | 173, 37, 19, 40, 323 |
| 173, 37, 1, 40, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 173 x 37 x 1 x 40 x 17 = 6450671760
Therefore, the lowest common multiple of 519,962,494,240,323 is 6450671760.
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.
519 x 962 x 494 x 240 x 323 = 19119791096640
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.
519 : 1, 3, 173, 519
962 : 1, 2, 13, 26, 37, 74, 481, 962
494 : 1, 2, 13, 19, 26, 38, 247, 494
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,962,494,240,323, is 1.
Now, the common factors can be found like this.
519:3x 173
962:2x 13x 37
494:2x 13x 19
240:2x 2x 2x 2x 3x 5
323:17x 19
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 3x 13x 19 = 2964
Therefore, the value for common factors is 2964.
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 = 19119791096640/(1x2964)
LCM = 19119791096640/2964
LCM = 6450671760
Thus, we can understand that the LCM of 519,962,494,240,323 is 6450671760.
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FAQs on LCM of 519, 962, 494, 240, 323
1. What is the LCM of 519, 962, 494, 240, 323?
Answer: LCM of 519, 962, 494, 240, 323 is 6450671760.
2. How to calculate the LCM of 519, 962, 494, 240, 323?
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 519, 962, 494, 240, 323.
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}.