Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/688, 2039/2375 quickly i.e. 157003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/688, 2039/2375 is 157003.
LCM(77/688, 2039/2375) = 157003
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/688,2039/2375
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 77,2039
Least Common Multiple of Numerators i.e. LCM of 77,2039 is 157003.
GCF of Denominators means GCF of 688,2375 as per the given fractions.
GCF of 688,2375 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,2039
Given numbers has no common factors except 1. So, there LCM is their product i.e 157003
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 77,2039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,2039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,2039) x common factors =1 x 1 = 1
LCM(77,2039) = ( 77 × 2039 ) / 1
LCM(77,2039) = 157003 / 1
LCM(77,2039) = 157003
Lets's calculate GCF of 688,2375
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157003/1
Therefore the LCM of Fractions 77/688,2039/2375 is 157003
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 2375
List of positive integer factors of 2375 that divides 2375 without a remainder.
1,5,19,25,95,125,475,2375
Greatest Common Factor
We found the factors 688,2375 . The biggest common factor number is the GCF number.
So the greatest common factor 688,2375 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 77/688, 2039/2375?
Answer: LCM of Numerators as per given numbers 77/688, 2039/2375 is
LCM of Numerators i.e. for 77,2039 is 157003
GCF of denominators i.e. for 688,2375 is 1.
Thus, LCM of Fractions is 157003.Finally, LCM of Fractions for 77/688, 2039/2375 is 157003.