Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 239/620, 811/495, 984/229 quickly i.e. 190727736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 239/620, 811/495, 984/229 is 190727736.
LCM(239/620, 811/495, 984/229) = 190727736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 239/620,811/495,984/229
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 239,811,984
Least Common Multiple of Numerators i.e. LCM of 239,811,984 is 190727736.
GCF of Denominators means GCF of 620,495,229 as per the given fractions.
GCF of 620,495,229 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 239,811,984
Given numbers has no common factors except 1. So, there LCM is their product i.e 190727736
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 239,811,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,811,984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,811,984) x common factors =1 x 1 = 1
LCM(239,811,984) = ( 239 × 811 × 984 ) / 1
LCM(239,811,984) = 190727736 / 1
LCM(239,811,984) = 190727736
Lets's calculate GCF of 620,495,229
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190727736/1
Therefore the LCM of Fractions 239/620,811/495,984/229 is 190727736
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Greatest Common Factor
We found the factors 620,495,229 . The biggest common factor number is the GCF number.
So the greatest common factor 620,495,229 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 239/620, 811/495, 984/229?
Answer: LCM of Numerators as per given numbers 239/620, 811/495, 984/229 is
LCM of Numerators i.e. for 239,811,984 is 190727736
GCF of denominators i.e. for 620,495,229 is 1.
Thus, LCM of Fractions is 190727736.Finally, LCM of Fractions for 239/620, 811/495, 984/229 is 190727736.