Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/913, 52/932, 521/644 quickly i.e. 81276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/913, 52/932, 521/644 is 81276.
LCM(12/913, 52/932, 521/644) = 81276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/913,52/932,521/644
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 12,52,521
Least Common Multiple of Numerators i.e. LCM of 12,52,521 is 81276.
GCF of Denominators means GCF of 913,932,644 as per the given fractions.
GCF of 913,932,644 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,52,521
2 | 12, 52, 521 |
2 | 6, 26, 521 |
3, 13, 521 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 521 = 81276
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 12,52,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,52,521) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(12,52,521) x common factors =1 x 4 = 4
LCM(12,52,521) = ( 12 × 52 × 521 ) / 4
LCM(12,52,521) = 325104 / 4
LCM(12,52,521) = 81276
Lets's calculate GCF of 913,932,644
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81276/1
Therefore the LCM of Fractions 12/913,52/932,521/644 is 81276
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 913,932,644 . The biggest common factor number is the GCF number.
So the greatest common factor 913,932,644 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 12/913, 52/932, 521/644?
Answer: LCM of Numerators as per given numbers 12/913, 52/932, 521/644 is
LCM of Numerators i.e. for 12,52,521 is 81276
GCF of denominators i.e. for 913,932,644 is 1.
Thus, LCM of Fractions is 81276.Finally, LCM of Fractions for 12/913, 52/932, 521/644 is 81276.