LCM of 818, 396, 759, 650, 823
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 396, 759, 650, 823 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 818, 396, 759, 650, 823. So, keep reading to learn more.
Given numbers are 818,396,759,650,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,396,759,650,823 is 996390380700.
Find LCM of 818,396,759,650,823 with Prime Factorization
| 2 | 818, 396, 759, 650, 823 |
| 3 | 409, 198, 759, 325, 823 |
| 11 | 409, 66, 253, 325, 823 |
| 409, 6, 23, 325, 823 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 409 x 6 x 23 x 325 x 823 = 996390380700
Therefore, the lowest common multiple of 818,396,759,650,823 is 996390380700.
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.
818 x 396 x 759 x 650 x 823 = 131523530252400
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.
818 : 1, 2, 409, 818
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
759 : 1, 3, 11, 23, 33, 69, 253, 759
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,396,759,650,823, is 1.
Now, the common factors can be found like this.
818:2x 409
396:2x 2x 3x 3x 11
759:3x 11x 23
650:2x 5x 5x 13
823:823
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 131523530252400/(1x132)
LCM = 131523530252400/132
LCM = 996390380700
Thus, we can understand that the LCM of 818,396,759,650,823 is 996390380700.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 818, 396, 759, 650, 823
1. What is the LCM of 818, 396, 759, 650, 823?
Answer: LCM of 818, 396, 759, 650, 823 is 996390380700.
2. How to calculate the LCM of 818, 396, 759, 650, 823?
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 818, 396, 759, 650, 823.
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}.