Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/988, 43/563, 69/319 quickly i.e. 23736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/988, 43/563, 69/319 is 23736.
LCM(8/988, 43/563, 69/319) = 23736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/988,43/563,69/319
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 8,43,69
Least Common Multiple of Numerators i.e. LCM of 8,43,69 is 23736.
GCF of Denominators means GCF of 988,563,319 as per the given fractions.
GCF of 988,563,319 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,43,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 23736
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 8,43,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,43,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,43,69) x common factors =1 x 1 = 1
LCM(8,43,69) = ( 8 × 43 × 69 ) / 1
LCM(8,43,69) = 23736 / 1
LCM(8,43,69) = 23736
Lets's calculate GCF of 988,563,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23736/1
Therefore the LCM of Fractions 8/988,43/563,69/319 is 23736
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Greatest Common Factor
We found the factors 988,563,319 . The biggest common factor number is the GCF number.
So the greatest common factor 988,563,319 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 8/988, 43/563, 69/319?
Answer: LCM of Numerators as per given numbers 8/988, 43/563, 69/319 is
LCM of Numerators i.e. for 8,43,69 is 23736
GCF of denominators i.e. for 988,563,319 is 1.
Thus, LCM of Fractions is 23736.Finally, LCM of Fractions for 8/988, 43/563, 69/319 is 23736.