LCM of 612, 800, 576, 381, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 800, 576, 381, 269 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 612, 800, 576, 381, 269. So, keep reading to learn more.
Given numbers are 612,800,576,381,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,800,576,381,269 is 8363102400.
Find LCM of 612,800,576,381,269 with Prime Factorization
| 2 | 612, 800, 576, 381, 269 |
| 2 | 306, 400, 288, 381, 269 |
| 2 | 153, 200, 144, 381, 269 |
| 2 | 153, 100, 72, 381, 269 |
| 2 | 153, 50, 36, 381, 269 |
| 3 | 153, 25, 18, 381, 269 |
| 3 | 51, 25, 6, 127, 269 |
| 17, 25, 2, 127, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 25 x 2 x 127 x 269 = 8363102400
Therefore, the lowest common multiple of 612,800,576,381,269 is 8363102400.
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.
612 x 800 x 576 x 381 x 269 = 28902881894400
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
381 : 1, 3, 127, 381
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,800,576,381,269, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
800:2x 2x 2x 2x 2x 5x 5
576:2x 2x 2x 2x 2x 2x 3x 3
381:3x 127
269:269
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 2x 2x 2x 2x 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 28902881894400/(1x3456)
LCM = 28902881894400/3456
LCM = 8363102400
Thus, we can understand that the LCM of 612,800,576,381,269 is 8363102400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 612, 800, 576, 381, 269
1. What is the LCM of 612, 800, 576, 381, 269?
Answer: LCM of 612, 800, 576, 381, 269 is 8363102400.
2. How to calculate the LCM of 612, 800, 576, 381, 269?
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 612, 800, 576, 381, 269.
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}.