Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/109, 11/537, 287/979 quickly i.e. 135751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/109, 11/537, 287/979 is 135751.
LCM(43/109, 11/537, 287/979) = 135751
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/109,11/537,287/979
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 43,11,287
Least Common Multiple of Numerators i.e. LCM of 43,11,287 is 135751.
GCF of Denominators means GCF of 109,537,979 as per the given fractions.
GCF of 109,537,979 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,11,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 135751
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 43,11,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,11,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,11,287) x common factors =1 x 1 = 1
LCM(43,11,287) = ( 43 × 11 × 287 ) / 1
LCM(43,11,287) = 135751 / 1
LCM(43,11,287) = 135751
Lets's calculate GCF of 109,537,979
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135751/1
Therefore the LCM of Fractions 43/109,11/537,287/979 is 135751
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Greatest Common Factor
We found the factors 109,537,979 . The biggest common factor number is the GCF number.
So the greatest common factor 109,537,979 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 43/109, 11/537, 287/979?
Answer: LCM of Numerators as per given numbers 43/109, 11/537, 287/979 is
LCM of Numerators i.e. for 43,11,287 is 135751
GCF of denominators i.e. for 109,537,979 is 1.
Thus, LCM of Fractions is 135751.Finally, LCM of Fractions for 43/109, 11/537, 287/979 is 135751.