LCM of 792, 448, 961, 424, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 448, 961, 424, 530 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 792, 448, 961, 424, 530. So, keep reading to learn more.
Given numbers are 792,448,961,424,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,448,961,424,530 is 11294902080.
Find LCM of 792,448,961,424,530 with Prime Factorization
| 2 | 792, 448, 961, 424, 530 |
| 2 | 396, 224, 961, 212, 265 |
| 2 | 198, 112, 961, 106, 265 |
| 53 | 99, 56, 961, 53, 265 |
| 99, 56, 961, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 99 x 56 x 961 x 1 x 5 = 11294902080
Therefore, the lowest common multiple of 792,448,961,424,530 is 11294902080.
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.
792 x 448 x 961 x 424 x 530 = 76624615710720
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.
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
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
961 : 1, 31, 961
424 : 1, 2, 4, 8, 53, 106, 212, 424
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,448,961,424,530, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
448:2x 2x 2x 2x 2x 2x 7
961:31x 31
424:2x 2x 2x 53
530:2x 5x 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 53 = 6784
Therefore, the value for common factors is 6784.
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 = 76624615710720/(1x6784)
LCM = 76624615710720/6784
LCM = 11294902080
Thus, we can understand that the LCM of 792,448,961,424,530 is 11294902080.
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FAQs on LCM of 792, 448, 961, 424, 530
1. What is the LCM of 792, 448, 961, 424, 530?
Answer: LCM of 792, 448, 961, 424, 530 is 11294902080.
2. How to calculate the LCM of 792, 448, 961, 424, 530?
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 792, 448, 961, 424, 530.
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}.