Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 725/627, 259/940, 397/292 quickly i.e. 74546675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 725/627, 259/940, 397/292 is 74546675.
LCM(725/627, 259/940, 397/292) = 74546675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 725/627,259/940,397/292
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 725,259,397
Least Common Multiple of Numerators i.e. LCM of 725,259,397 is 74546675.
GCF of Denominators means GCF of 627,940,292 as per the given fractions.
GCF of 627,940,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 725,259,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 74546675
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 725,259,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,259,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,259,397) x common factors =1 x 1 = 1
LCM(725,259,397) = ( 725 × 259 × 397 ) / 1
LCM(725,259,397) = 74546675 / 1
LCM(725,259,397) = 74546675
Lets's calculate GCF of 627,940,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74546675/1
Therefore the LCM of Fractions 725/627,259/940,397/292 is 74546675
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 627,940,292 . The biggest common factor number is the GCF number.
So the greatest common factor 627,940,292 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 725/627, 259/940, 397/292?
Answer: LCM of Numerators as per given numbers 725/627, 259/940, 397/292 is
LCM of Numerators i.e. for 725,259,397 is 74546675
GCF of denominators i.e. for 627,940,292 is 1.
Thus, LCM of Fractions is 74546675.Finally, LCM of Fractions for 725/627, 259/940, 397/292 is 74546675.