Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/938, 659/655, 965/461 quickly i.e. 24801465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/938, 659/655, 965/461 is 24801465.
LCM(39/938, 659/655, 965/461) = 24801465
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/938,659/655,965/461
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 39,659,965
Least Common Multiple of Numerators i.e. LCM of 39,659,965 is 24801465.
GCF of Denominators means GCF of 938,655,461 as per the given fractions.
GCF of 938,655,461 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,659,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 24801465
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 39,659,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,659,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,659,965) x common factors =1 x 1 = 1
LCM(39,659,965) = ( 39 × 659 × 965 ) / 1
LCM(39,659,965) = 24801465 / 1
LCM(39,659,965) = 24801465
Lets's calculate GCF of 938,655,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24801465/1
Therefore the LCM of Fractions 39/938,659/655,965/461 is 24801465
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Greatest Common Factor
We found the factors 938,655,461 . The biggest common factor number is the GCF number.
So the greatest common factor 938,655,461 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 39/938, 659/655, 965/461?
Answer: LCM of Numerators as per given numbers 39/938, 659/655, 965/461 is
LCM of Numerators i.e. for 39,659,965 is 24801465
GCF of denominators i.e. for 938,655,461 is 1.
Thus, LCM of Fractions is 24801465.Finally, LCM of Fractions for 39/938, 659/655, 965/461 is 24801465.