LCM of 791, 850, 966, 403, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 850, 966, 403, 797 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 791, 850, 966, 403, 797. So, keep reading to learn more.
Given numbers are 791,850,966,403,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,850,966,403,797 is 14900741050650.
Find LCM of 791,850,966,403,797 with Prime Factorization
| 2 | 791, 850, 966, 403, 797 |
| 7 | 791, 425, 483, 403, 797 |
| 113, 425, 69, 403, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 113 x 425 x 69 x 403 x 797 = 14900741050650
Therefore, the lowest common multiple of 791,850,966,403,797 is 14900741050650.
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.
791 x 850 x 966 x 403 x 797 = 208610374709100
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.
791 : 1, 7, 113, 791
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
403 : 1, 13, 31, 403
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,850,966,403,797, is 1.
Now, the common factors can be found like this.
791:7x 113
850:2x 5x 5x 17
966:2x 3x 7x 23
403:13x 31
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 208610374709100/(1x14)
LCM = 208610374709100/14
LCM = 14900741050650
Thus, we can understand that the LCM of 791,850,966,403,797 is 14900741050650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 791, 850, 966, 403, 797
1. What is the LCM of 791, 850, 966, 403, 797?
Answer: LCM of 791, 850, 966, 403, 797 is 14900741050650.
2. How to calculate the LCM of 791, 850, 966, 403, 797?
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 791, 850, 966, 403, 797.
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}.