Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 466/818, 263/931 quickly i.e. 122558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 466/818, 263/931 is 122558.
LCM(466/818, 263/931) = 122558
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 466/818,263/931
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 466,263
Least Common Multiple of Numerators i.e. LCM of 466,263 is 122558.
GCF of Denominators means GCF of 818,931 as per the given fractions.
GCF of 818,931 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 466,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 122558
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 466,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,263) x common factors =1 x 1 = 1
LCM(466,263) = ( 466 × 263 ) / 1
LCM(466,263) = 122558 / 1
LCM(466,263) = 122558
Lets's calculate GCF of 818,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122558/1
Therefore the LCM of Fractions 466/818,263/931 is 122558
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Greatest Common Factor
We found the factors 818,931 . The biggest common factor number is the GCF number.
So the greatest common factor 818,931 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 466/818, 263/931?
Answer: LCM of Numerators as per given numbers 466/818, 263/931 is
LCM of Numerators i.e. for 466,263 is 122558
GCF of denominators i.e. for 818,931 is 1.
Thus, LCM of Fractions is 122558.Finally, LCM of Fractions for 466/818, 263/931 is 122558.