Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/657, 374/724, 291/614 quickly i.e. 10339230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/657, 374/724, 291/614 is 10339230.
LCM(95/657, 374/724, 291/614) = 10339230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/657,374/724,291/614
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 95,374,291
Least Common Multiple of Numerators i.e. LCM of 95,374,291 is 10339230.
GCF of Denominators means GCF of 657,724,614 as per the given fractions.
GCF of 657,724,614 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,374,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 10339230
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 95,374,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,374,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,374,291) x common factors =1 x 1 = 1
LCM(95,374,291) = ( 95 × 374 × 291 ) / 1
LCM(95,374,291) = 10339230 / 1
LCM(95,374,291) = 10339230
Lets's calculate GCF of 657,724,614
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10339230/1
Therefore the LCM of Fractions 95/657,374/724,291/614 is 10339230
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Greatest Common Factor
We found the factors 657,724,614 . The biggest common factor number is the GCF number.
So the greatest common factor 657,724,614 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 95/657, 374/724, 291/614?
Answer: LCM of Numerators as per given numbers 95/657, 374/724, 291/614 is
LCM of Numerators i.e. for 95,374,291 is 10339230
GCF of denominators i.e. for 657,724,614 is 1.
Thus, LCM of Fractions is 10339230.Finally, LCM of Fractions for 95/657, 374/724, 291/614 is 10339230.