LCM of 774, 261, 522, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 261, 522, 321 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 774, 261, 522, 321. So, keep reading to learn more.
Given numbers are 774,261,522,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,261,522,321 is 2401722.
Find LCM of 774,261,522,321 with Prime Factorization
| 2 | 774, 261, 522, 321 |
| 3 | 387, 261, 261, 321 |
| 3 | 129, 87, 87, 107 |
| 29 | 43, 29, 29, 107 |
| 43, 1, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 29 x 43 x 1 x 1 x 107 = 2401722
Therefore, the lowest common multiple of 774,261,522,321 is 2401722.
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.
774 x 261 x 522 x 321 = 33849869868
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
261 : 1, 3, 9, 29, 87, 261
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
321 : 1, 3, 107, 321
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,261,522,321, is 3.
Now, the common factors can be found like this.
774:2x 3x 3x 43
261:3x 3x 29
522:2x 3x 3x 29
321:3x 107
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 3x 3x 3x 29 = 4698
Therefore, the value for common factors is 4698.
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 = 33849869868/(3x4698)
LCM = 33849869868/14094
LCM = 2401722
Thus, we can understand that the LCM of 774,261,522,321 is 2401722.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 774, 261, 522, 321
1. What is the LCM of 774, 261, 522, 321?
Answer: LCM of 774, 261, 522, 321 is 2401722.
2. How to calculate the LCM of 774, 261, 522, 321?
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 774, 261, 522, 321.
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}.