Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 968/93, 761/5414 quickly i.e. 736648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 968/93, 761/5414 is 736648.
LCM(968/93, 761/5414) = 736648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 968/93,761/5414
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 968,761
Least Common Multiple of Numerators i.e. LCM of 968,761 is 736648.
GCF of Denominators means GCF of 93,5414 as per the given fractions.
GCF of 93,5414 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 968,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 736648
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 968,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,761) x common factors =1 x 1 = 1
LCM(968,761) = ( 968 × 761 ) / 1
LCM(968,761) = 736648 / 1
LCM(968,761) = 736648
Lets's calculate GCF of 93,5414
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736648/1
Therefore the LCM of Fractions 968/93,761/5414 is 736648
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 5414
List of positive integer factors of 5414 that divides 5414 without a remainder.
1,2,2707,5414
Greatest Common Factor
We found the factors 93,5414 . The biggest common factor number is the GCF number.
So the greatest common factor 93,5414 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 968/93, 761/5414?
Answer: LCM of Numerators as per given numbers 968/93, 761/5414 is
LCM of Numerators i.e. for 968,761 is 736648
GCF of denominators i.e. for 93,5414 is 1.
Thus, LCM of Fractions is 736648.Finally, LCM of Fractions for 968/93, 761/5414 is 736648.