LCM of 249, 451, 996, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 249, 451, 996, 792 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 249, 451, 996, 792. So, keep reading to learn more.
Given numbers are 249,451,996,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,451,996,792 is 2695176.
Find LCM of 249,451,996,792 with Prime Factorization
| 2 | 249, 451, 996, 792 |
| 2 | 249, 451, 498, 396 |
| 3 | 249, 451, 249, 198 |
| 11 | 83, 451, 83, 66 |
| 83 | 83, 41, 83, 6 |
| 1, 41, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 83 x 1 x 41 x 1 x 6 = 2695176
Therefore, the lowest common multiple of 249,451,996,792 is 2695176.
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.
249 x 451 x 996 x 792 = 88585044768
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.
249 : 1, 3, 83, 249
451 : 1, 11, 41, 451
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,451,996,792, is 1.
Now, the common factors can be found like this.
249:3x 83
451:11x 41
996:2x 2x 3x 83
792:2x 2x 2x 3x 3x 11
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 3x 11x 83 = 32868
Therefore, the value for common factors is 32868.
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 = 88585044768/(1x32868)
LCM = 88585044768/32868
LCM = 2695176
Thus, we can understand that the LCM of 249,451,996,792 is 2695176.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 249, 451, 996, 792
1. What is the LCM of 249, 451, 996, 792?
Answer: LCM of 249, 451, 996, 792 is 2695176.
2. How to calculate the LCM of 249, 451, 996, 792?
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 249, 451, 996, 792.
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}.