Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 120/66, 113/1978 quickly i.e. 6780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 120/66, 113/1978 is 6780.
LCM(120/66, 113/1978) = 6780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 120/66,113/1978
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 120,113
Least Common Multiple of Numerators i.e. LCM of 120,113 is 13560.
GCF of Denominators means GCF of 66,1978 as per the given fractions.
GCF of 66,1978 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 120,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 13560
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 120,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(120,113) x common factors =1 x 1 = 1
LCM(120,113) = ( 120 × 113 ) / 1
LCM(120,113) = 13560 / 1
LCM(120,113) = 13560
Lets's calculate GCF of 66,1978
2 | 66, 1978 |
33, 989 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13560/2
Therefore the LCM of Fractions 120/66,113/1978 is 6780
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 1978
List of positive integer factors of 1978 that divides 1978 without a remainder.
1,2,23,43,46,86,989,1978
Greatest Common Factor
We found the factors 66,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 66,1978 is 2.
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 120/66, 113/1978?
Answer: LCM of Numerators as per given numbers 120/66, 113/1978 is
LCM of Numerators i.e. for 120,113 is 13560
GCF of denominators i.e. for 66,1978 is 2.
Thus, LCM of Fractions is 6780.Finally, LCM of Fractions for 120/66, 113/1978 is 6780.