Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/966, 3275/5267 quickly i.e. 36025/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/966, 3275/5267 is 36025/23.
LCM(11/966, 3275/5267) = 36025/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/966,3275/5267
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 11,3275
Least Common Multiple of Numerators i.e. LCM of 11,3275 is 36025.
GCF of Denominators means GCF of 966,5267 as per the given fractions.
GCF of 966,5267 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,3275
Given numbers has no common factors except 1. So, there LCM is their product i.e 36025
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 11,3275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,3275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,3275) x common factors =1 x 1 = 1
LCM(11,3275) = ( 11 × 3275 ) / 1
LCM(11,3275) = 36025 / 1
LCM(11,3275) = 36025
Lets's calculate GCF of 966,5267
23 | 966, 5267 |
42, 229 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36025/23
Therefore the LCM of Fractions 11/966,3275/5267 is 36025/23
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 5267
List of positive integer factors of 5267 that divides 5267 without a remainder.
1,23,229,5267
Greatest Common Factor
We found the factors 966,5267 . The biggest common factor number is the GCF number.
So the greatest common factor 966,5267 is 23.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 11/966, 3275/5267?
Answer: LCM of Numerators as per given numbers 11/966, 3275/5267 is
LCM of Numerators i.e. for 11,3275 is 36025
GCF of denominators i.e. for 966,5267 is 23.
Thus, LCM of Fractions is 36025/23.Finally, LCM of Fractions for 11/966, 3275/5267 is 36025/23.