Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 937/863, 273/532 quickly i.e. 255801 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 937/863, 273/532 is 255801.
LCM(937/863, 273/532) = 255801
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 937/863,273/532
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 937,273
Least Common Multiple of Numerators i.e. LCM of 937,273 is 255801.
GCF of Denominators means GCF of 863,532 as per the given fractions.
GCF of 863,532 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 937,273
Given numbers has no common factors except 1. So, there LCM is their product i.e 255801
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 937,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,273) x common factors =1 x 1 = 1
LCM(937,273) = ( 937 × 273 ) / 1
LCM(937,273) = 255801 / 1
LCM(937,273) = 255801
Lets's calculate GCF of 863,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255801/1
Therefore the LCM of Fractions 937/863,273/532 is 255801
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 863,532 . The biggest common factor number is the GCF number.
So the greatest common factor 863,532 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 937/863, 273/532?
Answer: LCM of Numerators as per given numbers 937/863, 273/532 is
LCM of Numerators i.e. for 937,273 is 255801
GCF of denominators i.e. for 863,532 is 1.
Thus, LCM of Fractions is 255801.Finally, LCM of Fractions for 937/863, 273/532 is 255801.