LCM of 269, 480, 704, 869, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 480, 704, 869, 838 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 269, 480, 704, 869, 838. So, keep reading to learn more.
Given numbers are 269,480,704,869,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,480,704,869,838 is 94028024640.
Find LCM of 269,480,704,869,838 with Prime Factorization
| 2 | 269, 480, 704, 869, 838 |
| 2 | 269, 240, 352, 869, 419 |
| 2 | 269, 120, 176, 869, 419 |
| 2 | 269, 60, 88, 869, 419 |
| 2 | 269, 30, 44, 869, 419 |
| 11 | 269, 15, 22, 869, 419 |
| 269, 15, 2, 79, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 269 x 15 x 2 x 79 x 419 = 94028024640
Therefore, the lowest common multiple of 269,480,704,869,838 is 94028024640.
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.
269 x 480 x 704 x 869 x 838 = 66195729346560
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.
269 : 1, 269
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
869 : 1, 11, 79, 869
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,480,704,869,838, is 1.
Now, the common factors can be found like this.
269:269
480:2x 2x 2x 2x 2x 3x 5
704:2x 2x 2x 2x 2x 2x 11
869:11x 79
838:2x 419
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 11 = 704
Therefore, the value for common factors is 704.
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 = 66195729346560/(1x704)
LCM = 66195729346560/704
LCM = 94028024640
Thus, we can understand that the LCM of 269,480,704,869,838 is 94028024640.
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FAQs on LCM of 269, 480, 704, 869, 838
1. What is the LCM of 269, 480, 704, 869, 838?
Answer: LCM of 269, 480, 704, 869, 838 is 94028024640.
2. How to calculate the LCM of 269, 480, 704, 869, 838?
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 269, 480, 704, 869, 838.
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}.