LCM of 153, 289, 792, 648, 997
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 289, 792, 648, 997 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 153, 289, 792, 648, 997. So, keep reading to learn more.
Given numbers are 153,289,792,648,997
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,289,792,648,997 is 2053812024.
Find LCM of 153,289,792,648,997 with Prime Factorization
| 2 | 153, 289, 792, 648, 997 |
| 2 | 153, 289, 396, 324, 997 |
| 2 | 153, 289, 198, 162, 997 |
| 3 | 153, 289, 99, 81, 997 |
| 3 | 51, 289, 33, 27, 997 |
| 17 | 17, 289, 11, 9, 997 |
| 1, 17, 11, 9, 997 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 17 x 1 x 17 x 11 x 9 x 997 = 2053812024
Therefore, the lowest common multiple of 153,289,792,648,997 is 2053812024.
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.
153 x 289 x 792 x 648 x 997 = 22624793256384
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.
153 : 1, 3, 9, 17, 51, 153
289 : 1, 17, 289
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
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
997 : 1, 997
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,289,792,648,997, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
289:17x 17
792:2x 2x 2x 3x 3x 11
648:2x 2x 2x 3x 3x 3x 3
997:997
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 3x 3x 3x 3x 17 = 11016
Therefore, the value for common factors is 11016.
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 = 22624793256384/(1x11016)
LCM = 22624793256384/11016
LCM = 2053812024
Thus, we can understand that the LCM of 153,289,792,648,997 is 2053812024.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 153, 289, 792, 648, 997
1. What is the LCM of 153, 289, 792, 648, 997?
Answer: LCM of 153, 289, 792, 648, 997 is 2053812024.
2. How to calculate the LCM of 153, 289, 792, 648, 997?
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 153, 289, 792, 648, 997.
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}.