LCM of 355, 505, 789, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 505, 789, 789 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 355, 505, 789, 789. So, keep reading to learn more.
Given numbers are 355,505,789,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,505,789,789 is 28289595.
Find LCM of 355,505,789,789 with Prime Factorization
| 3 | 355, 505, 789, 789 |
| 5 | 355, 505, 263, 263 |
| 263 | 71, 101, 263, 263 |
| 71, 101, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 263 x 71 x 101 x 1 x 1 = 28289595
Therefore, the lowest common multiple of 355,505,789,789 is 28289595.
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.
355 x 505 x 789 x 789 = 111602452275
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.
355 : 1, 5, 71, 355
505 : 1, 5, 101, 505
789 : 1, 3, 263, 789
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,505,789,789, is 1.
Now, the common factors can be found like this.
355:5x 71
505:5x 101
789:3x 263
789:3x 263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 263 = 3945
Therefore, the value for common factors is 3945.
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 = 111602452275/(1x3945)
LCM = 111602452275/3945
LCM = 28289595
Thus, we can understand that the LCM of 355,505,789,789 is 28289595.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 355, 505, 789, 789
1. What is the LCM of 355, 505, 789, 789?
Answer: LCM of 355, 505, 789, 789 is 28289595.
2. How to calculate the LCM of 355, 505, 789, 789?
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 355, 505, 789, 789.
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}.