LCM of 304, 792, 706, 408, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 792, 706, 408, 954 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 304, 792, 706, 408, 954. So, keep reading to learn more.
Given numbers are 304,792,706,408,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,792,706,408,954 is 9572123088.
Find LCM of 304,792,706,408,954 with Prime Factorization
| 2 | 304, 792, 706, 408, 954 |
| 2 | 152, 396, 353, 204, 477 |
| 2 | 76, 198, 353, 102, 477 |
| 3 | 38, 99, 353, 51, 477 |
| 3 | 38, 33, 353, 17, 159 |
| 38, 11, 353, 17, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 38 x 11 x 353 x 17 x 53 = 9572123088
Therefore, the lowest common multiple of 304,792,706,408,954 is 9572123088.
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.
304 x 792 x 706 x 408 x 954 = 66162514784256
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
706 : 1, 2, 353, 706
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,792,706,408,954, is 2.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
792:2x 2x 2x 3x 3x 11
706:2x 353
408:2x 2x 2x 3x 17
954:2x 3x 3x 53
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 2x 2x 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 66162514784256/(2x3456)
LCM = 66162514784256/6912
LCM = 9572123088
Thus, we can understand that the LCM of 304,792,706,408,954 is 9572123088.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 304, 792, 706, 408, 954
1. What is the LCM of 304, 792, 706, 408, 954?
Answer: LCM of 304, 792, 706, 408, 954 is 9572123088.
2. How to calculate the LCM of 304, 792, 706, 408, 954?
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 304, 792, 706, 408, 954.
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}.