Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/975, 687/232 quickly i.e. 213657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/975, 687/232 is 213657.
LCM(933/975, 687/232) = 213657
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/975,687/232
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 933,687
Least Common Multiple of Numerators i.e. LCM of 933,687 is 213657.
GCF of Denominators means GCF of 975,232 as per the given fractions.
GCF of 975,232 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,687
3 | 933, 687 |
311, 229 |
∴ So the LCM of the given numbers is 3 x 311 x 229 = 213657
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 933,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,687) x common factors =3 x 1 = 3
LCM(933,687) = ( 933 × 687 ) / 3
LCM(933,687) = 640971 / 3
LCM(933,687) = 213657
Lets's calculate GCF of 975,232
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213657/1
Therefore the LCM of Fractions 933/975,687/232 is 213657
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 975,232 . The biggest common factor number is the GCF number.
So the greatest common factor 975,232 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 933/975, 687/232?
Answer: LCM of Numerators as per given numbers 933/975, 687/232 is
LCM of Numerators i.e. for 933,687 is 213657
GCF of denominators i.e. for 975,232 is 1.
Thus, LCM of Fractions is 213657.Finally, LCM of Fractions for 933/975, 687/232 is 213657.