Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/966, 47/112 quickly i.e. 2068/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/966, 47/112 is 2068/14.
LCM(44/966, 47/112) = 2068/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/966,47/112
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 44,47
Least Common Multiple of Numerators i.e. LCM of 44,47 is 2068.
GCF of Denominators means GCF of 966,112 as per the given fractions.
GCF of 966,112 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 2068
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 44,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,47) x common factors =1 x 1 = 1
LCM(44,47) = ( 44 × 47 ) / 1
LCM(44,47) = 2068 / 1
LCM(44,47) = 2068
Lets's calculate GCF of 966,112
2 | 966, 112 |
7 | 483, 56 |
69, 8 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2068/14
Therefore the LCM of Fractions 44/966,47/112 is 2068/14
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 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 966,112 . The biggest common factor number is the GCF number.
So the greatest common factor 966,112 is 14.
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 44/966, 47/112?
Answer: LCM of Numerators as per given numbers 44/966, 47/112 is
LCM of Numerators i.e. for 44,47 is 2068
GCF of denominators i.e. for 966,112 is 14.
Thus, LCM of Fractions is 2068/14.Finally, LCM of Fractions for 44/966, 47/112 is 2068/14.