Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 208/66, 777/7692 quickly i.e. 26936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 208/66, 777/7692 is 26936.
LCM(208/66, 777/7692) = 26936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 208/66,777/7692
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 208,777
Least Common Multiple of Numerators i.e. LCM of 208,777 is 161616.
GCF of Denominators means GCF of 66,7692 as per the given fractions.
GCF of 66,7692 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 208,777
Given numbers has no common factors except 1. So, there LCM is their product i.e 161616
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 208,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,777) x common factors =1 x 1 = 1
LCM(208,777) = ( 208 × 777 ) / 1
LCM(208,777) = 161616 / 1
LCM(208,777) = 161616
Lets's calculate GCF of 66,7692
2 | 66, 7692 |
3 | 33, 3846 |
11, 1282 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161616/6
Therefore the LCM of Fractions 208/66,777/7692 is 26936
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 7692
List of positive integer factors of 7692 that divides 7692 without a remainder.
1,2,3,4,6,12,641,1282,1923,2564,3846,7692
Greatest Common Factor
We found the factors 66,7692 . The biggest common factor number is the GCF number.
So the greatest common factor 66,7692 is 6.
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 208/66, 777/7692?
Answer: LCM of Numerators as per given numbers 208/66, 777/7692 is
LCM of Numerators i.e. for 208,777 is 161616
GCF of denominators i.e. for 66,7692 is 6.
Thus, LCM of Fractions is 26936.Finally, LCM of Fractions for 208/66, 777/7692 is 26936.