LCM of 519, 344, 774, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 344, 774, 826 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, 344, 774, 826. So, keep reading to learn more.
Given numbers are 519,344,774,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,344,774,826 is 221206104.
Find LCM of 519,344,774,826 with Prime Factorization
| 2 | 519, 344, 774, 826 |
| 3 | 519, 172, 387, 413 |
| 43 | 173, 172, 129, 413 |
| 173, 4, 3, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 173 x 4 x 3 x 413 = 221206104
Therefore, the lowest common multiple of 519,344,774,826 is 221206104.
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 344 x 774 x 826 = 114142349664
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
344 : 1, 2, 4, 8, 43, 86, 172, 344
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,344,774,826, is 1.
Now, the common factors can be found like this.
519:3x 173
344:2x 2x 2x 43
774:2x 3x 3x 43
826:2x 7x 59
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 43 = 516
Therefore, the value for common factors is 516.
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 = 114142349664/(1x516)
LCM = 114142349664/516
LCM = 221206104
Thus, we can understand that the LCM of 519,344,774,826 is 221206104.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 519, 344, 774, 826
1. What is the LCM of 519, 344, 774, 826?
Answer: LCM of 519, 344, 774, 826 is 221206104.
2. How to calculate the LCM of 519, 344, 774, 826?
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, 344, 774, 826.
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}.