LCM of 954, 209, 999, 284, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 209, 999, 284, 703 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 954, 209, 999, 284, 703. So, keep reading to learn more.
Given numbers are 954,209,999,284,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,209,999,284,703 is 3142722132.
Find LCM of 954,209,999,284,703 with Prime Factorization
| 2 | 954, 209, 999, 284, 703 |
| 3 | 477, 209, 999, 142, 703 |
| 3 | 159, 209, 333, 142, 703 |
| 19 | 53, 209, 111, 142, 703 |
| 37 | 53, 11, 111, 142, 37 |
| 53, 11, 3, 142, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 37 x 53 x 11 x 3 x 142 x 1 = 3142722132
Therefore, the lowest common multiple of 954,209,999,284,703 is 3142722132.
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.
954 x 209 x 999 x 284 x 703 = 39768005858328
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
209 : 1, 11, 19, 209
999 : 1, 3, 9, 27, 37, 111, 333, 999
284 : 1, 2, 4, 71, 142, 284
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,209,999,284,703, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
209:11x 19
999:3x 3x 3x 37
284:2x 2x 71
703:19x 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 19x 37 = 12654
Therefore, the value for common factors is 12654.
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 = 39768005858328/(1x12654)
LCM = 39768005858328/12654
LCM = 3142722132
Thus, we can understand that the LCM of 954,209,999,284,703 is 3142722132.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 954, 209, 999, 284, 703
1. What is the LCM of 954, 209, 999, 284, 703?
Answer: LCM of 954, 209, 999, 284, 703 is 3142722132.
2. How to calculate the LCM of 954, 209, 999, 284, 703?
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 954, 209, 999, 284, 703.
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}.