Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/752, 387/750, 112/657 quickly i.e. 1256976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/752, 387/750, 112/657 is 1256976.
LCM(29/752, 387/750, 112/657) = 1256976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/752,387/750,112/657
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 29,387,112
Least Common Multiple of Numerators i.e. LCM of 29,387,112 is 1256976.
GCF of Denominators means GCF of 752,750,657 as per the given fractions.
GCF of 752,750,657 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,387,112
Given numbers has no common factors except 1. So, there LCM is their product i.e 1256976
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 29,387,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,387,112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,387,112) x common factors =1 x 1 = 1
LCM(29,387,112) = ( 29 × 387 × 112 ) / 1
LCM(29,387,112) = 1256976 / 1
LCM(29,387,112) = 1256976
Lets's calculate GCF of 752,750,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1256976/1
Therefore the LCM of Fractions 29/752,387/750,112/657 is 1256976
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 752,750,657 . The biggest common factor number is the GCF number.
So the greatest common factor 752,750,657 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 29/752, 387/750, 112/657?
Answer: LCM of Numerators as per given numbers 29/752, 387/750, 112/657 is
LCM of Numerators i.e. for 29,387,112 is 1256976
GCF of denominators i.e. for 752,750,657 is 1.
Thus, LCM of Fractions is 1256976.Finally, LCM of Fractions for 29/752, 387/750, 112/657 is 1256976.