Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/76, 54/83, 521/592 quickly i.e. 1237896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/76, 54/83, 521/592 is 1237896.
LCM(88/76, 54/83, 521/592) = 1237896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/76,54/83,521/592
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 88,54,521
Least Common Multiple of Numerators i.e. LCM of 88,54,521 is 1237896.
GCF of Denominators means GCF of 76,83,592 as per the given fractions.
GCF of 76,83,592 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,54,521
2 | 88, 54, 521 |
44, 27, 521 |
∴ So the LCM of the given numbers is 2 x 44 x 27 x 521 = 1237896
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 88,54,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,54,521) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,54,521) x common factors =1 x 2 = 2
LCM(88,54,521) = ( 88 × 54 × 521 ) / 2
LCM(88,54,521) = 2475792 / 2
LCM(88,54,521) = 1237896
Lets's calculate GCF of 76,83,592
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1237896/1
Therefore the LCM of Fractions 88/76,54/83,521/592 is 1237896
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 76,83,592 . The biggest common factor number is the GCF number.
So the greatest common factor 76,83,592 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 88/76, 54/83, 521/592?
Answer: LCM of Numerators as per given numbers 88/76, 54/83, 521/592 is
LCM of Numerators i.e. for 88,54,521 is 1237896
GCF of denominators i.e. for 76,83,592 is 1.
Thus, LCM of Fractions is 1237896.Finally, LCM of Fractions for 88/76, 54/83, 521/592 is 1237896.