LCM of 792, 361, 305, 400, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 361, 305, 400, 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, 361, 305, 400, 289. So, keep reading to learn more.
Given numbers are 792,361,305,400,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,361,305,400,289 is 252017132400.
Find LCM of 792,361,305,400,289 with Prime Factorization
| 2 | 792, 361, 305, 400, 289 |
| 2 | 396, 361, 305, 200, 289 |
| 2 | 198, 361, 305, 100, 289 |
| 5 | 99, 361, 305, 50, 289 |
| 99, 361, 61, 10, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 99 x 361 x 61 x 10 x 289 = 252017132400
Therefore, the lowest common multiple of 792,361,305,400,289 is 252017132400.
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 361 x 305 x 400 x 289 = 10080685296000
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
361 : 1, 19, 361
305 : 1, 5, 61, 305
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,361,305,400,289, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
361:19x 19
305:5x 61
400:2x 2x 2x 2x 5x 5
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.
2x 2x 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 10080685296000/(1x40)
LCM = 10080685296000/40
LCM = 252017132400
Thus, we can understand that the LCM of 792,361,305,400,289 is 252017132400.
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FAQs on LCM of 792, 361, 305, 400, 289
1. What is the LCM of 792, 361, 305, 400, 289?
Answer: LCM of 792, 361, 305, 400, 289 is 252017132400.
2. How to calculate the LCM of 792, 361, 305, 400, 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, 361, 305, 400, 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}.