LCM of 797, 999, 909, 770, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 999, 909, 770, 518 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 797, 999, 909, 770, 518. So, keep reading to learn more.
Given numbers are 797,999,909,770,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,999,909,770,518 is 61920707310.
Find LCM of 797,999,909,770,518 with Prime Factorization
| 2 | 797, 999, 909, 770, 518 |
| 3 | 797, 999, 909, 385, 259 |
| 3 | 797, 333, 303, 385, 259 |
| 7 | 797, 111, 101, 385, 259 |
| 37 | 797, 111, 101, 55, 37 |
| 797, 3, 101, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 37 x 797 x 3 x 101 x 55 x 1 = 61920707310
Therefore, the lowest common multiple of 797,999,909,770,518 is 61920707310.
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.
797 x 999 x 909 x 770 x 518 = 288674337479220
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.
797 : 1, 797
999 : 1, 3, 9, 27, 37, 111, 333, 999
909 : 1, 3, 9, 101, 303, 909
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,999,909,770,518, is 1.
Now, the common factors can be found like this.
797:797
999:3x 3x 3x 37
909:3x 3x 101
770:2x 5x 7x 11
518:2x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 37 = 4662
Therefore, the value for common factors is 4662.
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 = 288674337479220/(1x4662)
LCM = 288674337479220/4662
LCM = 61920707310
Thus, we can understand that the LCM of 797,999,909,770,518 is 61920707310.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 797, 999, 909, 770, 518
1. What is the LCM of 797, 999, 909, 770, 518?
Answer: LCM of 797, 999, 909, 770, 518 is 61920707310.
2. How to calculate the LCM of 797, 999, 909, 770, 518?
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 797, 999, 909, 770, 518.
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}.