Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/471, 5934/4532 quickly i.e. 11868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/471, 5934/4532 is 11868.
LCM(92/471, 5934/4532) = 11868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/471,5934/4532
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 92,5934
Least Common Multiple of Numerators i.e. LCM of 92,5934 is 11868.
GCF of Denominators means GCF of 471,4532 as per the given fractions.
GCF of 471,4532 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,5934
2 | 92, 5934 |
23 | 46, 2967 |
2, 129 |
∴ So the LCM of the given numbers is 2 x 23 x 2 x 129 = 11868
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 92,5934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,5934) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(92,5934) x common factors =46 x 1 = 46
LCM(92,5934) = ( 92 × 5934 ) / 46
LCM(92,5934) = 545928 / 46
LCM(92,5934) = 11868
Lets's calculate GCF of 471,4532
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11868/1
Therefore the LCM of Fractions 92/471,5934/4532 is 11868
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 4532
List of positive integer factors of 4532 that divides 4532 without a remainder.
1,2,4,11,22,44,103,206,412,1133,2266,4532
Greatest Common Factor
We found the factors 471,4532 . The biggest common factor number is the GCF number.
So the greatest common factor 471,4532 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 92/471, 5934/4532?
Answer: LCM of Numerators as per given numbers 92/471, 5934/4532 is
LCM of Numerators i.e. for 92,5934 is 11868
GCF of denominators i.e. for 471,4532 is 1.
Thus, LCM of Fractions is 11868.Finally, LCM of Fractions for 92/471, 5934/4532 is 11868.