Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 127/322, 652/582, 677/409 quickly i.e. 56058308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 127/322, 652/582, 677/409 is 56058308.
LCM(127/322, 652/582, 677/409) = 56058308
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 127/322,652/582,677/409
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 127,652,677
Least Common Multiple of Numerators i.e. LCM of 127,652,677 is 56058308.
GCF of Denominators means GCF of 322,582,409 as per the given fractions.
GCF of 322,582,409 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 127,652,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 56058308
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 127,652,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,652,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,652,677) x common factors =1 x 1 = 1
LCM(127,652,677) = ( 127 × 652 × 677 ) / 1
LCM(127,652,677) = 56058308 / 1
LCM(127,652,677) = 56058308
Lets's calculate GCF of 322,582,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56058308/1
Therefore the LCM of Fractions 127/322,652/582,677/409 is 56058308
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 322,582,409 . The biggest common factor number is the GCF number.
So the greatest common factor 322,582,409 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 127/322, 652/582, 677/409?
Answer: LCM of Numerators as per given numbers 127/322, 652/582, 677/409 is
LCM of Numerators i.e. for 127,652,677 is 56058308
GCF of denominators i.e. for 322,582,409 is 1.
Thus, LCM of Fractions is 56058308.Finally, LCM of Fractions for 127/322, 652/582, 677/409 is 56058308.