LCM of 782, 792, 614, 948, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 792, 614, 948, 829 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 782, 792, 614, 948, 829. So, keep reading to learn more.
Given numbers are 782,792,614,948,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,792,614,948,829 is 6226183788264.
Find LCM of 782,792,614,948,829 with Prime Factorization
| 2 | 782, 792, 614, 948, 829 |
| 2 | 391, 396, 307, 474, 829 |
| 3 | 391, 198, 307, 237, 829 |
| 391, 66, 307, 79, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 391 x 66 x 307 x 79 x 829 = 6226183788264
Therefore, the lowest common multiple of 782,792,614,948,829 is 6226183788264.
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.
782 x 792 x 614 x 948 x 829 = 298856821836672
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
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
614 : 1, 2, 307, 614
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,792,614,948,829, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
792:2x 2x 2x 3x 3x 11
614:2x 307
948:2x 2x 3x 79
829:829
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 3 = 48
Therefore, the value for common factors is 48.
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 = 298856821836672/(1x48)
LCM = 298856821836672/48
LCM = 6226183788264
Thus, we can understand that the LCM of 782,792,614,948,829 is 6226183788264.
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FAQs on LCM of 782, 792, 614, 948, 829
1. What is the LCM of 782, 792, 614, 948, 829?
Answer: LCM of 782, 792, 614, 948, 829 is 6226183788264.
2. How to calculate the LCM of 782, 792, 614, 948, 829?
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 782, 792, 614, 948, 829.
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}.