LCM of 793, 830, 847, 990, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 793, 830, 847, 990, 665 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 793, 830, 847, 990, 665. So, keep reading to learn more.
Given numbers are 793,830,847,990,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 793,830,847,990,665 is 95330265030.
Find LCM of 793,830,847,990,665 with Prime Factorization
| 2 | 793, 830, 847, 990, 665 |
| 5 | 793, 415, 847, 495, 665 |
| 7 | 793, 83, 847, 99, 133 |
| 11 | 793, 83, 121, 99, 19 |
| 793, 83, 11, 9, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 793 x 83 x 11 x 9 x 19 = 95330265030
Therefore, the lowest common multiple of 793,830,847,990,665 is 95330265030.
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.
793 x 830 x 847 x 990 x 665 = 367021520365500
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.
793 : 1, 13, 61, 793
830 : 1, 2, 5, 10, 83, 166, 415, 830
847 : 1, 7, 11, 77, 121, 847
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 793,830,847,990,665, is 1.
Now, the common factors can be found like this.
793:13x 61
830:2x 5x 83
847:7x 11x 11
990:2x 3x 3x 5x 11
665:5x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 11 = 3850
Therefore, the value for common factors is 3850.
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 = 367021520365500/(1x3850)
LCM = 367021520365500/3850
LCM = 95330265030
Thus, we can understand that the LCM of 793,830,847,990,665 is 95330265030.
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FAQs on LCM of 793, 830, 847, 990, 665
1. What is the LCM of 793, 830, 847, 990, 665?
Answer: LCM of 793, 830, 847, 990, 665 is 95330265030.
2. How to calculate the LCM of 793, 830, 847, 990, 665?
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 793, 830, 847, 990, 665.
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}.