LCM of 792, 933, 689, 793, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 933, 689, 793, 915 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, 933, 689, 793, 915. So, keep reading to learn more.
Given numbers are 792,933,689,793,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,933,689,793,915 is 51761235240.
Find LCM of 792,933,689,793,915 with Prime Factorization
| 3 | 792, 933, 689, 793, 915 |
| 13 | 264, 311, 689, 793, 305 |
| 61 | 264, 311, 53, 61, 305 |
| 264, 311, 53, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 61 x 264 x 311 x 53 x 1 x 5 = 51761235240
Therefore, the lowest common multiple of 792,933,689,793,915 is 51761235240.
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 933 x 689 x 793 x 915 = 369419935907880
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
933 : 1, 3, 311, 933
689 : 1, 13, 53, 689
793 : 1, 13, 61, 793
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,933,689,793,915, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
933:3x 311
689:13x 53
793:13x 61
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 61 = 7137
Therefore, the value for common factors is 7137.
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 = 369419935907880/(1x7137)
LCM = 369419935907880/7137
LCM = 51761235240
Thus, we can understand that the LCM of 792,933,689,793,915 is 51761235240.
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FAQs on LCM of 792, 933, 689, 793, 915
1. What is the LCM of 792, 933, 689, 793, 915?
Answer: LCM of 792, 933, 689, 793, 915 is 51761235240.
2. How to calculate the LCM of 792, 933, 689, 793, 915?
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, 933, 689, 793, 915.
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}.