Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 469/853, 948/763, 577/476 quickly i.e. 256541124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 469/853, 948/763, 577/476 is 256541124.
LCM(469/853, 948/763, 577/476) = 256541124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 469/853,948/763,577/476
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 469,948,577
Least Common Multiple of Numerators i.e. LCM of 469,948,577 is 256541124.
GCF of Denominators means GCF of 853,763,476 as per the given fractions.
GCF of 853,763,476 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 469,948,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 256541124
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 469,948,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,948,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,948,577) x common factors =1 x 1 = 1
LCM(469,948,577) = ( 469 × 948 × 577 ) / 1
LCM(469,948,577) = 256541124 / 1
LCM(469,948,577) = 256541124
Lets's calculate GCF of 853,763,476
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256541124/1
Therefore the LCM of Fractions 469/853,948/763,577/476 is 256541124
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 853,763,476 . The biggest common factor number is the GCF number.
So the greatest common factor 853,763,476 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 469/853, 948/763, 577/476?
Answer: LCM of Numerators as per given numbers 469/853, 948/763, 577/476 is
LCM of Numerators i.e. for 469,948,577 is 256541124
GCF of denominators i.e. for 853,763,476 is 1.
Thus, LCM of Fractions is 256541124.Finally, LCM of Fractions for 469/853, 948/763, 577/476 is 256541124.