Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9178/963, 4971/789 quickly i.e. 15207946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9178/963, 4971/789 is 15207946.
LCM(9178/963, 4971/789) = 15207946
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9178/963,4971/789
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 9178,4971
Least Common Multiple of Numerators i.e. LCM of 9178,4971 is 45623838.
GCF of Denominators means GCF of 963,789 as per the given fractions.
GCF of 963,789 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9178,4971
Given numbers has no common factors except 1. So, there LCM is their product i.e 45623838
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 9178,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9178,4971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9178,4971) x common factors =1 x 1 = 1
LCM(9178,4971) = ( 9178 × 4971 ) / 1
LCM(9178,4971) = 45623838 / 1
LCM(9178,4971) = 45623838
Lets's calculate GCF of 963,789
3 | 963, 789 |
321, 263 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45623838/3
Therefore the LCM of Fractions 9178/963,4971/789 is 15207946
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 963,789 . The biggest common factor number is the GCF number.
So the greatest common factor 963,789 is 3.
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 9178/963, 4971/789?
Answer: LCM of Numerators as per given numbers 9178/963, 4971/789 is
LCM of Numerators i.e. for 9178,4971 is 45623838
GCF of denominators i.e. for 963,789 is 3.
Thus, LCM of Fractions is 15207946.Finally, LCM of Fractions for 9178/963, 4971/789 is 15207946.