LCM of 799, 456, 703, 414, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 456, 703, 414, 993 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 799, 456, 703, 414, 993. So, keep reading to learn more.
Given numbers are 799,456,703,414,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,456,703,414,993 is 307886346792.
Find LCM of 799,456,703,414,993 with Prime Factorization
| 2 | 799, 456, 703, 414, 993 |
| 3 | 799, 228, 703, 207, 993 |
| 19 | 799, 76, 703, 69, 331 |
| 799, 4, 37, 69, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 799 x 4 x 37 x 69 x 331 = 307886346792
Therefore, the lowest common multiple of 799,456,703,414,993 is 307886346792.
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.
799 x 456 x 703 x 414 x 993 = 105297130602864
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.
799 : 1, 17, 47, 799
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
703 : 1, 19, 37, 703
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,456,703,414,993, is 1.
Now, the common factors can be found like this.
799:17x 47
456:2x 2x 2x 3x 19
703:19x 37
414:2x 3x 3x 23
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 105297130602864/(1x342)
LCM = 105297130602864/342
LCM = 307886346792
Thus, we can understand that the LCM of 799,456,703,414,993 is 307886346792.
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FAQs on LCM of 799, 456, 703, 414, 993
1. What is the LCM of 799, 456, 703, 414, 993?
Answer: LCM of 799, 456, 703, 414, 993 is 307886346792.
2. How to calculate the LCM of 799, 456, 703, 414, 993?
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 799, 456, 703, 414, 993.
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}.