Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7901/932, 7276/466 quickly i.e. 57487676/466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7901/932, 7276/466 is 57487676/466.
LCM(7901/932, 7276/466) = 57487676/466
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7901/932,7276/466
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 7901,7276
Least Common Multiple of Numerators i.e. LCM of 7901,7276 is 57487676.
GCF of Denominators means GCF of 932,466 as per the given fractions.
GCF of 932,466 is 466 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7901,7276
Given numbers has no common factors except 1. So, there LCM is their product i.e 57487676
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 7901,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7901,7276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7901,7276) x common factors =1 x 1 = 1
LCM(7901,7276) = ( 7901 × 7276 ) / 1
LCM(7901,7276) = 57487676 / 1
LCM(7901,7276) = 57487676
Lets's calculate GCF of 932,466
2 | 932, 466 |
233 | 466, 233 |
2, 1 |
∴ So the GCF of the given numbers is 2 x 233 = 466
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57487676/466
Therefore the LCM of Fractions 7901/932,7276/466 is 57487676/466
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Greatest Common Factor
We found the factors 932,466 . The biggest common factor number is the GCF number.
So the greatest common factor 932,466 is 466.
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 7901/932, 7276/466?
Answer: LCM of Numerators as per given numbers 7901/932, 7276/466 is
LCM of Numerators i.e. for 7901,7276 is 57487676
GCF of denominators i.e. for 932,466 is 466.
Thus, LCM of Fractions is 57487676/466.Finally, LCM of Fractions for 7901/932, 7276/466 is 57487676/466.