Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 292/13, 231/1402 quickly i.e. 67452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 292/13, 231/1402 is 67452.
LCM(292/13, 231/1402) = 67452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 292/13,231/1402
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 292,231
Least Common Multiple of Numerators i.e. LCM of 292,231 is 67452.
GCF of Denominators means GCF of 13,1402 as per the given fractions.
GCF of 13,1402 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 292,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 67452
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 292,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,231) x common factors =1 x 1 = 1
LCM(292,231) = ( 292 × 231 ) / 1
LCM(292,231) = 67452 / 1
LCM(292,231) = 67452
Lets's calculate GCF of 13,1402
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67452/1
Therefore the LCM of Fractions 292/13,231/1402 is 67452
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 1402
List of positive integer factors of 1402 that divides 1402 without a remainder.
1,2,701,1402
Greatest Common Factor
We found the factors 13,1402 . The biggest common factor number is the GCF number.
So the greatest common factor 13,1402 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 292/13, 231/1402?
Answer: LCM of Numerators as per given numbers 292/13, 231/1402 is
LCM of Numerators i.e. for 292,231 is 67452
GCF of denominators i.e. for 13,1402 is 1.
Thus, LCM of Fractions is 67452.Finally, LCM of Fractions for 292/13, 231/1402 is 67452.