Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/355, 44/752, 601/113 quickly i.e. 819764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/355, 44/752, 601/113 is 819764.
LCM(31/355, 44/752, 601/113) = 819764
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/355,44/752,601/113
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 31,44,601
Least Common Multiple of Numerators i.e. LCM of 31,44,601 is 819764.
GCF of Denominators means GCF of 355,752,113 as per the given fractions.
GCF of 355,752,113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,44,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 819764
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 31,44,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,44,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,44,601) x common factors =1 x 1 = 1
LCM(31,44,601) = ( 31 × 44 × 601 ) / 1
LCM(31,44,601) = 819764 / 1
LCM(31,44,601) = 819764
Lets's calculate GCF of 355,752,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 819764/1
Therefore the LCM of Fractions 31/355,44/752,601/113 is 819764
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
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 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 355,752,113 . The biggest common factor number is the GCF number.
So the greatest common factor 355,752,113 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 31/355, 44/752, 601/113?
Answer: LCM of Numerators as per given numbers 31/355, 44/752, 601/113 is
LCM of Numerators i.e. for 31,44,601 is 819764
GCF of denominators i.e. for 355,752,113 is 1.
Thus, LCM of Fractions is 819764.Finally, LCM of Fractions for 31/355, 44/752, 601/113 is 819764.