Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/750, 1342/1944 quickly i.e. 208681 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/750, 1342/1944 is 208681.
LCM(933/750, 1342/1944) = 208681
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/750,1342/1944
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 933,1342
Least Common Multiple of Numerators i.e. LCM of 933,1342 is 1252086.
GCF of Denominators means GCF of 750,1944 as per the given fractions.
GCF of 750,1944 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,1342
Given numbers has no common factors except 1. So, there LCM is their product i.e 1252086
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 933,1342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,1342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,1342) x common factors =1 x 1 = 1
LCM(933,1342) = ( 933 × 1342 ) / 1
LCM(933,1342) = 1252086 / 1
LCM(933,1342) = 1252086
Lets's calculate GCF of 750,1944
2 | 750, 1944 |
3 | 375, 972 |
125, 324 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1252086/6
Therefore the LCM of Fractions 933/750,1342/1944 is 208681
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 1944
List of positive integer factors of 1944 that divides 1944 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,972,1944
Greatest Common Factor
We found the factors 750,1944 . The biggest common factor number is the GCF number.
So the greatest common factor 750,1944 is 6.
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 933/750, 1342/1944?
Answer: LCM of Numerators as per given numbers 933/750, 1342/1944 is
LCM of Numerators i.e. for 933,1342 is 1252086
GCF of denominators i.e. for 750,1944 is 6.
Thus, LCM of Fractions is 208681.Finally, LCM of Fractions for 933/750, 1342/1944 is 208681.