LCM of 792, 904, 135, 353, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 904, 135, 353, 705 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, 904, 135, 353, 705. So, keep reading to learn more.
Given numbers are 792,904,135,353,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,904,135,353,705 is 22272422040.
Find LCM of 792,904,135,353,705 with Prime Factorization
| 2 | 792, 904, 135, 353, 705 |
| 2 | 396, 452, 135, 353, 705 |
| 2 | 198, 226, 135, 353, 705 |
| 3 | 99, 113, 135, 353, 705 |
| 3 | 33, 113, 45, 353, 235 |
| 5 | 11, 113, 15, 353, 235 |
| 11, 113, 3, 353, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 11 x 113 x 3 x 353 x 47 = 22272422040
Therefore, the lowest common multiple of 792,904,135,353,705 is 22272422040.
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 904 x 135 x 353 x 705 = 24054215803200
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
904 : 1, 2, 4, 8, 113, 226, 452, 904
135 : 1, 3, 5, 9, 15, 27, 45, 135
353 : 1, 353
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,904,135,353,705, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
904:2x 2x 2x 113
135:3x 3x 3x 5
353:353
705:3x 5x 47
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 5 = 1080
Therefore, the value for common factors is 1080.
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 = 24054215803200/(1x1080)
LCM = 24054215803200/1080
LCM = 22272422040
Thus, we can understand that the LCM of 792,904,135,353,705 is 22272422040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 792, 904, 135, 353, 705
1. What is the LCM of 792, 904, 135, 353, 705?
Answer: LCM of 792, 904, 135, 353, 705 is 22272422040.
2. How to calculate the LCM of 792, 904, 135, 353, 705?
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, 904, 135, 353, 705.
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}.