LCM of 808, 424, 869, 517, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 808, 424, 869, 517, 605 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, 424, 869, 517, 605. So, keep reading to learn more.
Given numbers are 808,424,869,517,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,424,869,517,605 is 96198334760.
Find LCM of 808,424,869,517,605 with Prime Factorization
| 2 | 808, 424, 869, 517, 605 |
| 2 | 404, 212, 869, 517, 605 |
| 2 | 202, 106, 869, 517, 605 |
| 11 | 101, 53, 869, 517, 605 |
| 101, 53, 79, 47, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 101 x 53 x 79 x 47 x 55 = 96198334760
Therefore, the lowest common multiple of 808,424,869,517,605 is 96198334760.
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 424 x 869 x 517 x 605 = 93119988047680
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
424 : 1, 2, 4, 8, 53, 106, 212, 424
869 : 1, 11, 79, 869
517 : 1, 11, 47, 517
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,424,869,517,605, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
424:2x 2x 2x 53
869:11x 79
517:11x 47
605:5x 11x 11
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 93119988047680/(1x968)
LCM = 93119988047680/968
LCM = 96198334760
Thus, we can understand that the LCM of 808,424,869,517,605 is 96198334760.
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FAQs on LCM of 808, 424, 869, 517, 605
1. What is the LCM of 808, 424, 869, 517, 605?
Answer: LCM of 808, 424, 869, 517, 605 is 96198334760.
2. How to calculate the LCM of 808, 424, 869, 517, 605?
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, 424, 869, 517, 605.
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}.