LCM of 816, 807, 799, 544, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 807, 799, 544, 282 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 816, 807, 799, 544, 282. So, keep reading to learn more.
Given numbers are 816,807,799,544,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,807,799,544,282 is 20633376.
Find LCM of 816,807,799,544,282 with Prime Factorization
| 2 | 816, 807, 799, 544, 282 |
| 2 | 408, 807, 799, 272, 141 |
| 2 | 204, 807, 799, 136, 141 |
| 2 | 102, 807, 799, 68, 141 |
| 3 | 51, 807, 799, 34, 141 |
| 17 | 17, 269, 799, 34, 47 |
| 47 | 1, 269, 47, 2, 47 |
| 1, 269, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 47 x 1 x 269 x 1 x 2 x 1 = 20633376
Therefore, the lowest common multiple of 816,807,799,544,282 is 20633376.
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.
816 x 807 x 799 x 544 x 282 = 80715786107904
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
807 : 1, 3, 269, 807
799 : 1, 17, 47, 799
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,807,799,544,282, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
807:3x 269
799:17x 47
544:2x 2x 2x 2x 2x 17
282:2x 3x 47
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 3x 17x 17x 47 = 3911904
Therefore, the value for common factors is 3911904.
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 = 80715786107904/(1x3911904)
LCM = 80715786107904/3911904
LCM = 20633376
Thus, we can understand that the LCM of 816,807,799,544,282 is 20633376.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 816, 807, 799, 544, 282
1. What is the LCM of 816, 807, 799, 544, 282?
Answer: LCM of 816, 807, 799, 544, 282 is 20633376.
2. How to calculate the LCM of 816, 807, 799, 544, 282?
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 816, 807, 799, 544, 282.
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}.