Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/269, 98/523, 31/429 quickly i.e. 27342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/269, 98/523, 31/429 is 27342.
LCM(9/269, 98/523, 31/429) = 27342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/269,98/523,31/429
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 9,98,31
Least Common Multiple of Numerators i.e. LCM of 9,98,31 is 27342.
GCF of Denominators means GCF of 269,523,429 as per the given fractions.
GCF of 269,523,429 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,98,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 27342
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 9,98,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,98,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,98,31) x common factors =1 x 1 = 1
LCM(9,98,31) = ( 9 × 98 × 31 ) / 1
LCM(9,98,31) = 27342 / 1
LCM(9,98,31) = 27342
Lets's calculate GCF of 269,523,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27342/1
Therefore the LCM of Fractions 9/269,98/523,31/429 is 27342
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 269,523,429 . The biggest common factor number is the GCF number.
So the greatest common factor 269,523,429 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 9/269, 98/523, 31/429?
Answer: LCM of Numerators as per given numbers 9/269, 98/523, 31/429 is
LCM of Numerators i.e. for 9,98,31 is 27342
GCF of denominators i.e. for 269,523,429 is 1.
Thus, LCM of Fractions is 27342.Finally, LCM of Fractions for 9/269, 98/523, 31/429 is 27342.