LCM of 799, 721, 748, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 721, 748, 966 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, 721, 748, 966. So, keep reading to learn more.
Given numbers are 799,721,748,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,721,748,966 is 1748975844.
Find LCM of 799,721,748,966 with Prime Factorization
| 2 | 799, 721, 748, 966 |
| 7 | 799, 721, 374, 483 |
| 17 | 799, 103, 374, 69 |
| 47, 103, 22, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 47 x 103 x 22 x 69 = 1748975844
Therefore, the lowest common multiple of 799,721,748,966 is 1748975844.
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 721 x 748 x 966 = 416256250872
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
721 : 1, 7, 103, 721
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,721,748,966, is 1.
Now, the common factors can be found like this.
799:17x 47
721:7x 103
748:2x 2x 11x 17
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 416256250872/(1x238)
LCM = 416256250872/238
LCM = 1748975844
Thus, we can understand that the LCM of 799,721,748,966 is 1748975844.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 799, 721, 748, 966
1. What is the LCM of 799, 721, 748, 966?
Answer: LCM of 799, 721, 748, 966 is 1748975844.
2. How to calculate the LCM of 799, 721, 748, 966?
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, 721, 748, 966.
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}.