Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 491/236, 2785/961 quickly i.e. 1367435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 491/236, 2785/961 is 1367435.
LCM(491/236, 2785/961) = 1367435
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 491/236,2785/961
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 491,2785
Least Common Multiple of Numerators i.e. LCM of 491,2785 is 1367435.
GCF of Denominators means GCF of 236,961 as per the given fractions.
GCF of 236,961 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 491,2785
Given numbers has no common factors except 1. So, there LCM is their product i.e 1367435
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 491,2785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,2785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,2785) x common factors =1 x 1 = 1
LCM(491,2785) = ( 491 × 2785 ) / 1
LCM(491,2785) = 1367435 / 1
LCM(491,2785) = 1367435
Lets's calculate GCF of 236,961
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1367435/1
Therefore the LCM of Fractions 491/236,2785/961 is 1367435
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Greatest Common Factor
We found the factors 236,961 . The biggest common factor number is the GCF number.
So the greatest common factor 236,961 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 491/236, 2785/961?
Answer: LCM of Numerators as per given numbers 491/236, 2785/961 is
LCM of Numerators i.e. for 491,2785 is 1367435
GCF of denominators i.e. for 236,961 is 1.
Thus, LCM of Fractions is 1367435.Finally, LCM of Fractions for 491/236, 2785/961 is 1367435.