LCM of 480, 240, 827, 815, 838
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 240, 827, 815, 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 480, 240, 827, 815, 838. So, keep reading to learn more.
Given numbers are 480,240,827,815,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,240,827,815,838 is 27111177120.
Find LCM of 480,240,827,815,838 with Prime Factorization
| 2 | 480, 240, 827, 815, 838 |
| 2 | 240, 120, 827, 815, 419 |
| 2 | 60, 120, 827, 815, 419 |
| 2 | 30, 60, 827, 815, 419 |
| 3 | 15, 30, 827, 815, 419 |
| 5 | 5, 10, 827, 815, 419 |
| 1, 2, 827, 163, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 1 x 2 x 827 x 163 x 419 = 27111177120
Therefore, the lowest common multiple of 480,240,827,815,838 is 27111177120.
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.
480 x 240 x 827 x 815 x 838 = 65066825088000
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.
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
827 : 1, 827
815 : 1, 5, 163, 815
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,240,827,815,838, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
240:2x 2x 2x 2x 3x 5
827:827
815:5x 163
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 3x 5x 5 = 2400
Therefore, the value for common factors is 2400.
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 = 65066825088000/(1x2400)
LCM = 65066825088000/2400
LCM = 27111177120
Thus, we can understand that the LCM of 480,240,827,815,838 is 27111177120.
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FAQs on LCM of 480, 240, 827, 815, 838
1. What is the LCM of 480, 240, 827, 815, 838?
Answer: LCM of 480, 240, 827, 815, 838 is 27111177120.
2. How to calculate the LCM of 480, 240, 827, 815, 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 480, 240, 827, 815, 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}.