LCM of 819, 286, 683, 124, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 286, 683, 124, 902 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, 286, 683, 124, 902. So, keep reading to learn more.
Given numbers are 819,286,683,124,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,286,683,124,902 is 31282599348.
Find LCM of 819,286,683,124,902 with Prime Factorization
| 2 | 819, 286, 683, 124, 902 |
| 11 | 819, 143, 683, 62, 451 |
| 13 | 819, 13, 683, 62, 41 |
| 63, 1, 683, 62, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 63 x 1 x 683 x 62 x 41 = 31282599348
Therefore, the lowest common multiple of 819,286,683,124,902 is 31282599348.
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 286 x 683 x 124 x 902 = 17893646827056
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
683 : 1, 683
124 : 1, 2, 4, 31, 62, 124
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,286,683,124,902, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
286:2x 11x 13
683:683
124:2x 2x 31
902:2x 11x 41
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 17893646827056/(1x572)
LCM = 17893646827056/572
LCM = 31282599348
Thus, we can understand that the LCM of 819,286,683,124,902 is 31282599348.
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, 286, 683, 124, 902
1. What is the LCM of 819, 286, 683, 124, 902?
Answer: LCM of 819, 286, 683, 124, 902 is 31282599348.
2. How to calculate the LCM of 819, 286, 683, 124, 902?
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, 286, 683, 124, 902.
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}.