Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/308, 67/291, 809/626 quickly i.e. 3685804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/308, 67/291, 809/626 is 3685804.
LCM(68/308, 67/291, 809/626) = 3685804
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/308,67/291,809/626
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 68,67,809
Least Common Multiple of Numerators i.e. LCM of 68,67,809 is 3685804.
GCF of Denominators means GCF of 308,291,626 as per the given fractions.
GCF of 308,291,626 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,67,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 3685804
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 68,67,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,67,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,67,809) x common factors =1 x 1 = 1
LCM(68,67,809) = ( 68 × 67 × 809 ) / 1
LCM(68,67,809) = 3685804 / 1
LCM(68,67,809) = 3685804
Lets's calculate GCF of 308,291,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3685804/1
Therefore the LCM of Fractions 68/308,67/291,809/626 is 3685804
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 308,291,626 . The biggest common factor number is the GCF number.
So the greatest common factor 308,291,626 is 1.
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 68/308, 67/291, 809/626?
Answer: LCM of Numerators as per given numbers 68/308, 67/291, 809/626 is
LCM of Numerators i.e. for 68,67,809 is 3685804
GCF of denominators i.e. for 308,291,626 is 1.
Thus, LCM of Fractions is 3685804.Finally, LCM of Fractions for 68/308, 67/291, 809/626 is 3685804.