LCM of 792, 165, 745, 861, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 165, 745, 861, 289 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, 165, 745, 861, 289. So, keep reading to learn more.
Given numbers are 792,165,745,861,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,165,745,861,289 is 48939687720.
Find LCM of 792,165,745,861,289 with Prime Factorization
| 3 | 792, 165, 745, 861, 289 |
| 5 | 264, 55, 745, 287, 289 |
| 11 | 264, 11, 149, 287, 289 |
| 24, 1, 149, 287, 289 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 24 x 1 x 149 x 287 x 289 = 48939687720
Therefore, the lowest common multiple of 792,165,745,861,289 is 48939687720.
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 165 x 745 x 861 x 289 = 24225145421400
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
165 : 1, 3, 5, 11, 15, 33, 55, 165
745 : 1, 5, 149, 745
861 : 1, 3, 7, 21, 41, 123, 287, 861
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,165,745,861,289, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
165:3x 5x 11
745:5x 149
861:3x 7x 41
289:17x 17
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 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 24225145421400/(1x495)
LCM = 24225145421400/495
LCM = 48939687720
Thus, we can understand that the LCM of 792,165,745,861,289 is 48939687720.
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FAQs on LCM of 792, 165, 745, 861, 289
1. What is the LCM of 792, 165, 745, 861, 289?
Answer: LCM of 792, 165, 745, 861, 289 is 48939687720.
2. How to calculate the LCM of 792, 165, 745, 861, 289?
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, 165, 745, 861, 289.
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}.