Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 111/77, 614/5678 quickly i.e. 68154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 111/77, 614/5678 is 68154.
LCM(111/77, 614/5678) = 68154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 111/77,614/5678
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 111,614
Least Common Multiple of Numerators i.e. LCM of 111,614 is 68154.
GCF of Denominators means GCF of 77,5678 as per the given fractions.
GCF of 77,5678 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 111,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 68154
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 111,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,614) x common factors =1 x 1 = 1
LCM(111,614) = ( 111 × 614 ) / 1
LCM(111,614) = 68154 / 1
LCM(111,614) = 68154
Lets's calculate GCF of 77,5678
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68154/1
Therefore the LCM of Fractions 111/77,614/5678 is 68154
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 5678
List of positive integer factors of 5678 that divides 5678 without a remainder.
1,2,17,34,167,334,2839,5678
Greatest Common Factor
We found the factors 77,5678 . The biggest common factor number is the GCF number.
So the greatest common factor 77,5678 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 111/77, 614/5678?
Answer: LCM of Numerators as per given numbers 111/77, 614/5678 is
LCM of Numerators i.e. for 111,614 is 68154
GCF of denominators i.e. for 77,5678 is 1.
Thus, LCM of Fractions is 68154.Finally, LCM of Fractions for 111/77, 614/5678 is 68154.