LCM of 819, 715, 209, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 715, 209, 836 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 819, 715, 209, 836. So, keep reading to learn more.
Given numbers are 819,715,209,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,715,209,836 is 3423420.
Find LCM of 819,715,209,836 with Prime Factorization
| 11 | 819, 715, 209, 836 |
| 13 | 819, 65, 19, 76 |
| 19 | 63, 5, 19, 76 |
| 63, 5, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 19 x 63 x 5 x 1 x 4 = 3423420
Therefore, the lowest common multiple of 819,715,209,836 is 3423420.
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.
819 x 715 x 209 x 836 = 102315753540
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
715 : 1, 5, 11, 13, 55, 65, 143, 715
209 : 1, 11, 19, 209
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,715,209,836, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
715:5x 11x 13
209:11x 19
836:2x 2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11x 13x 19 = 29887
Therefore, the value for common factors is 29887.
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 = 102315753540/(1x29887)
LCM = 102315753540/29887
LCM = 3423420
Thus, we can understand that the LCM of 819,715,209,836 is 3423420.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 819, 715, 209, 836
1. What is the LCM of 819, 715, 209, 836?
Answer: LCM of 819, 715, 209, 836 is 3423420.
2. How to calculate the LCM of 819, 715, 209, 836?
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 819, 715, 209, 836.
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}.