LCM of 826, 216, 808, 480, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 216, 808, 480, 238 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 826, 216, 808, 480, 238. So, keep reading to learn more.
Given numbers are 826,216,808,480,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,216,808,480,238 is 3063402720.
Find LCM of 826,216,808,480,238 with Prime Factorization
| 2 | 826, 216, 808, 480, 238 |
| 2 | 413, 108, 404, 240, 119 |
| 2 | 413, 54, 202, 120, 119 |
| 3 | 413, 27, 101, 60, 119 |
| 7 | 413, 9, 101, 20, 119 |
| 59, 9, 101, 20, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 59 x 9 x 101 x 20 x 17 = 3063402720
Therefore, the lowest common multiple of 826,216,808,480,238 is 3063402720.
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.
826 x 216 x 808 x 480 x 238 = 16468853022720
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
808 : 1, 2, 4, 8, 101, 202, 404, 808
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
238 : 1, 2, 7, 14, 17, 34, 119, 238
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,216,808,480,238, is 2.
Now, the common factors can be found like this.
826:2x 7x 59
216:2x 2x 2x 3x 3x 3
808:2x 2x 2x 101
480:2x 2x 2x 2x 2x 3x 5
238:2x 7x 17
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 7 = 2688
Therefore, the value for common factors is 2688.
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 = 16468853022720/(2x2688)
LCM = 16468853022720/5376
LCM = 3063402720
Thus, we can understand that the LCM of 826,216,808,480,238 is 3063402720.
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FAQs on LCM of 826, 216, 808, 480, 238
1. What is the LCM of 826, 216, 808, 480, 238?
Answer: LCM of 826, 216, 808, 480, 238 is 3063402720.
2. How to calculate the LCM of 826, 216, 808, 480, 238?
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 826, 216, 808, 480, 238.
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}.