LCM of 808, 488, 120, 690, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 488, 120, 690, 796 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 808, 488, 120, 690, 796. So, keep reading to learn more.
Given numbers are 808,488,120,690,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,488,120,690,796 is 3383867640.
Find LCM of 808,488,120,690,796 with Prime Factorization
| 2 | 808, 488, 120, 690, 796 |
| 2 | 404, 244, 60, 345, 398 |
| 2 | 202, 122, 30, 345, 199 |
| 3 | 101, 61, 15, 345, 199 |
| 5 | 101, 61, 5, 115, 199 |
| 101, 61, 1, 23, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 101 x 61 x 1 x 23 x 199 = 3383867640
Therefore, the lowest common multiple of 808,488,120,690,796 is 3383867640.
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.
808 x 488 x 120 x 690 x 796 = 25988103475200
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
488 : 1, 2, 4, 8, 61, 122, 244, 488
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
796 : 1, 2, 4, 199, 398, 796
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,488,120,690,796, is 2.
Now, the common factors can be found like this.
808:2x 2x 2x 101
488:2x 2x 2x 61
120:2x 2x 2x 3x 5
690:2x 3x 5x 23
796:2x 2x 199
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 2x 3x 5 = 3840
Therefore, the value for common factors is 3840.
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 = 25988103475200/(2x3840)
LCM = 25988103475200/7680
LCM = 3383867640
Thus, we can understand that the LCM of 808,488,120,690,796 is 3383867640.
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FAQs on LCM of 808, 488, 120, 690, 796
1. What is the LCM of 808, 488, 120, 690, 796?
Answer: LCM of 808, 488, 120, 690, 796 is 3383867640.
2. How to calculate the LCM of 808, 488, 120, 690, 796?
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 808, 488, 120, 690, 796.
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}.