Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 968/775, 677/112 quickly i.e. 655336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 968/775, 677/112 is 655336.
LCM(968/775, 677/112) = 655336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 968/775,677/112
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 968,677
Least Common Multiple of Numerators i.e. LCM of 968,677 is 655336.
GCF of Denominators means GCF of 775,112 as per the given fractions.
GCF of 775,112 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 968,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 655336
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 968,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,677) x common factors =1 x 1 = 1
LCM(968,677) = ( 968 × 677 ) / 1
LCM(968,677) = 655336 / 1
LCM(968,677) = 655336
Lets's calculate GCF of 775,112
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 655336/1
Therefore the LCM of Fractions 968/775,677/112 is 655336
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 775,112 . The biggest common factor number is the GCF number.
So the greatest common factor 775,112 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 968/775, 677/112?
Answer: LCM of Numerators as per given numbers 968/775, 677/112 is
LCM of Numerators i.e. for 968,677 is 655336
GCF of denominators i.e. for 775,112 is 1.
Thus, LCM of Fractions is 655336.Finally, LCM of Fractions for 968/775, 677/112 is 655336.