Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 519/514, 254/189, 396/848 quickly i.e. 8700516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 519/514, 254/189, 396/848 is 8700516.
LCM(519/514, 254/189, 396/848) = 8700516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 519/514,254/189,396/848
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 519,254,396
Least Common Multiple of Numerators i.e. LCM of 519,254,396 is 8700516.
GCF of Denominators means GCF of 514,189,848 as per the given fractions.
GCF of 514,189,848 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 519,254,396
2 | 519, 254, 396 |
3 | 519, 127, 198 |
173, 127, 66 |
∴ So the LCM of the given numbers is 2 x 3 x 173 x 127 x 66 = 8700516
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 519,254,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,254,396) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(519,254,396) x common factors =1 x 6 = 6
LCM(519,254,396) = ( 519 × 254 × 396 ) / 6
LCM(519,254,396) = 52203096 / 6
LCM(519,254,396) = 8700516
Lets's calculate GCF of 514,189,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8700516/1
Therefore the LCM of Fractions 519/514,254/189,396/848 is 8700516
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 514,189,848 . The biggest common factor number is the GCF number.
So the greatest common factor 514,189,848 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 519/514, 254/189, 396/848?
Answer: LCM of Numerators as per given numbers 519/514, 254/189, 396/848 is
LCM of Numerators i.e. for 519,254,396 is 8700516
GCF of denominators i.e. for 514,189,848 is 1.
Thus, LCM of Fractions is 8700516.Finally, LCM of Fractions for 519/514, 254/189, 396/848 is 8700516.